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