Solve the equation. Check your solution (1)/(4)(-16 k+52)=8+10 k

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Solve the equation. Check your solution  (1)/(4)(-16 k+52)=8+10 k

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Simplify Equation: Simplify the equation. We start by simplifying the equation (1)/(4)(-16 k+52)=8+10 k. To do this, we can distribute the 1/4 across the (-16 k + 52) term. 1/4 * -16 k + 1/4 * 52 = 8 + 10 kPerform Multiplication: Perform the multiplication. Now we multiply -16 k by 1/4 and 52 by 1/4. -4 k + 13 = 8 + 10 kMove Terms: Move all terms containing k to one side and constants to the other side. We want to isolate the variable k, so we'll move the k terms to one side and the constants to the other side by adding 4 k to both sides and subtracting 8 from both sides. -4 k + 4 k + 13 = 8 - 8 + 10 k + 4 k 13 = 10 k + 4 kCombine Like Terms: Combine like terms. Now we combine the terms on the right side of the equation. 13 = 14 kSolve for k: Solve for k. To solve for k, we divide both sides of the equation by 14. k = 13 / 14Check Solution: Check the solution. We substitute k = 13 / 14 back into the original equation to check if it satisfies the equation. (1)/(4)(-16 * (13 / 14) + 52) = 8 + 10 * (13 / 14) Simplify the left side: (1)/(4)(-16 * (13 / 14) + 52) = (1)/(4)(-208 / 14 + 728 / 14) (1)/(4)(520 / 14) = (1)/(4)(37) = 37 / 4 Simplify the right side: 8 + 10 * (13 / 14) = 8 + 130 / 14 8 + 130 / 14 = 112 / 14 + 130 / 14 112 / 14 + 130 / 14 = 242 / 14 = 121 / 7 Since 37 / 4 is not equal to 121 / 7, there is a mistake in our calculations.

Solve the equation. Check your solution $\newline$ $\frac{1}{4}(-16k+52)=8+10k$ $\newline$

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Solve the equation. Check your solution\newline14(−16k+52)=8+10k\frac{1}{4}(-16k+52)=8+10k41​(−16k+52)=8+10k\newline

Solve the equation. Check your solution $\newline$ $\frac{1}{4}(-16k+52)=8+10k$ $\newline$