Solve the equation. Check your solution. 18=6-(z+8) The solution set is _____.

Write Equation: Write down the original equation. 18 = 6 - (z + 8)Distribute Negative Sign: Distribute the negative sign through the parentheses. 18 = 6 - z - 8Combine Like Terms: Combine like terms on the right side of the equation. 18 = -z - 2Add Z to Both Sides: Add z to both sides of the equation to get z on one side. 18 + z = -2Isolate Variable Z: Add 2 to both sides of the equation to isolate the variable z. 18 + z + 2 = -2 + 2 20 + z = 0Subtract to Solve Z: Subtract 20 from both sides to solve for z. z = 0 - 20 z = -20

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Math Problems

Grade 8

Write an equation word problem

Full solution

Q. Solve the equation. Check your solution.

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18=6-(z+8)

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The solution set is

\_\_\_\_\_

Write Equation: Write down the original equation. $\newline$ $18 = 6 - (z + 8)$
Distribute Negative Sign: Distribute the negative sign through the parentheses. $\newline$ $18 = 6 - z - 8$
Combine Like Terms: Combine like terms on the right side of the equation. $\newline$ $18 = -z - 2$
Add $Z$ to Both Sides: Add $z$ to both sides of the equation to get $z$ on one side. $\newline$ $18 + z = -2$
Isolate Variable Z: Add $2$ to both sides of the equation to isolate the variable $z$ . $\newline$ $18 + z + 2 = -2 + 2$ $\newline$ $20 + z = 0$
Subtract to Solve Z: Subtract $20$ from both sides to solve for $z$ .
$z = 0 - 20$
$z = -20$