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Simplifying 5(z + -1) = 12z Reorder the terms: 5(-1 + z) = 12z (-1 * 5 + z * 5) = 12z (-5 + 5z) = 12z Solving -5 + 5z = 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -5 + 5z + -12z = 12z + -12z Combine like terms: 5z + -12z = -7z -5 + -7z = 12z + -12z Combine like terms: 12z + -12z = 0 -5 + -7z = 0 Add '5' to each side of the equation. -5 + 5 + -7z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7z = 0 + 5 -7z = 0 + 5 Combine like terms: 0 + 5 = 5 -7z = 5 Divide each side by '-7'. z = -0.7142857143 Simplifying z = -0.7142857143
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