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Solve for zz.\newline−4+3z=−2+5z-4 + 3z = -2 + 5z

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Full solution

Q. Solve for zz.\newline−4+3z=−2+5z-4 + 3z = -2 + 5z
  1. Combine Like Terms: First, we want to get all the zz terms on one side of the equation and the constants on the other side. We can do this by adding 44 to both sides and subtracting 5z5z from both sides.\newline−4+3z+4=−2+5z+4-4 + 3z + 4 = -2 + 5z + 4\newline3z−5z=−2+43z - 5z = -2 + 4
  2. Simplify Equation: Now, we simplify both sides of the equation by combining like terms.\newline3z−5z=−2+43z - 5z = -2 + 4\newline−2z=2-2z = 2
  3. Divide and Solve: To solve for zz, we divide both sides of the equation by −2-2.−2z−2=2−2\frac{-2z}{-2} = \frac{2}{-2}z=−1z = -1

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