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Simplifying -1(-3z + 3) = 8z + 7 Reorder the terms: -1(3 + -3z) = 8z + 7 (3 * -1 + -3z * -1) = 8z + 7 (-3 + 3z) = 8z + 7 Reorder the terms: -3 + 3z = 7 + 8z Solving -3 + 3z = 7 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -3 + 3z + -8z = 7 + 8z + -8z Combine like terms: 3z + -8z = -5z -3 + -5z = 7 + 8z + -8z Combine like terms: 8z + -8z = 0 -3 + -5z = 7 + 0 -3 + -5z = 7 Add '3' to each side of the equation. -3 + 3 + -5z = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5z = 7 + 3 -5z = 7 + 3 Combine like terms: 7 + 3 = 10 -5z = 10 Divide each side by '-5'. z = -2 Simplifying z = -2
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