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Simplifying -3(z + 3) = 2(4 + -1z) Reorder the terms: -3(3 + z) = 2(4 + -1z) (3 * -3 + z * -3) = 2(4 + -1z) (-9 + -3z) = 2(4 + -1z) -9 + -3z = (4 * 2 + -1z * 2) -9 + -3z = (8 + -2z) Solving -9 + -3z = 8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -9 + -3z + 2z = 8 + -2z + 2z Combine like terms: -3z + 2z = -1z -9 + -1z = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 -9 + -1z = 8 + 0 -9 + -1z = 8 Add '9' to each side of the equation. -9 + 9 + -1z = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = 8 + 9 -1z = 8 + 9 Combine like terms: 8 + 9 = 17 -1z = 17 Divide each side by '-1'. z = -17 Simplifying z = -17
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