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Simplifying -6(z + -3) + -3(5z + -2) = 87 Reorder the terms: -6(-3 + z) + -3(5z + -2) = 87 (-3 * -6 + z * -6) + -3(5z + -2) = 87 (18 + -6z) + -3(5z + -2) = 87 Reorder the terms: 18 + -6z + -3(-2 + 5z) = 87 18 + -6z + (-2 * -3 + 5z * -3) = 87 18 + -6z + (6 + -15z) = 87 Reorder the terms: 18 + 6 + -6z + -15z = 87 Combine like terms: 18 + 6 = 24 24 + -6z + -15z = 87 Combine like terms: -6z + -15z = -21z 24 + -21z = 87 Solving 24 + -21z = 87 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -21z = 87 + -24 Combine like terms: 24 + -24 = 0 0 + -21z = 87 + -24 -21z = 87 + -24 Combine like terms: 87 + -24 = 63 -21z = 63 Divide each side by '-21'. z = -3 Simplifying z = -3
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