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Simplifying 39 = -2(21 + -1z) + 3(z + -3) 39 = (21 * -2 + -1z * -2) + 3(z + -3) 39 = (-42 + 2z) + 3(z + -3) Reorder the terms: 39 = -42 + 2z + 3(-3 + z) 39 = -42 + 2z + (-3 * 3 + z * 3) 39 = -42 + 2z + (-9 + 3z) Reorder the terms: 39 = -42 + -9 + 2z + 3z Combine like terms: -42 + -9 = -51 39 = -51 + 2z + 3z Combine like terms: 2z + 3z = 5z 39 = -51 + 5z Solving 39 = -51 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 39 + -5z = -51 + 5z + -5z Combine like terms: 5z + -5z = 0 39 + -5z = -51 + 0 39 + -5z = -51 Add '-39' to each side of the equation. 39 + -39 + -5z = -51 + -39 Combine like terms: 39 + -39 = 0 0 + -5z = -51 + -39 -5z = -51 + -39 Combine like terms: -51 + -39 = -90 -5z = -90 Divide each side by '-5'. z = 18 Simplifying z = 18
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