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Simplifying -1(2z + -7) = 3z + -3 Reorder the terms: -1(-7 + 2z) = 3z + -3 (-7 * -1 + 2z * -1) = 3z + -3 (7 + -2z) = 3z + -3 Reorder the terms: 7 + -2z = -3 + 3z Solving 7 + -2z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 7 + -2z + -3z = -3 + 3z + -3z Combine like terms: -2z + -3z = -5z 7 + -5z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + -5z = -3 + 0 7 + -5z = -3 Add '-7' to each side of the equation. 7 + -7 + -5z = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -5z = -3 + -7 -5z = -3 + -7 Combine like terms: -3 + -7 = -10 -5z = -10 Divide each side by '-5'. z = 2 Simplifying z = 2
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