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Simplifying 9(z + -4) + -1(3 + -7z) = 15z Reorder the terms: 9(-4 + z) + -1(3 + -7z) = 15z (-4 * 9 + z * 9) + -1(3 + -7z) = 15z (-36 + 9z) + -1(3 + -7z) = 15z -36 + 9z + (3 * -1 + -7z * -1) = 15z -36 + 9z + (-3 + 7z) = 15z Reorder the terms: -36 + -3 + 9z + 7z = 15z Combine like terms: -36 + -3 = -39 -39 + 9z + 7z = 15z Combine like terms: 9z + 7z = 16z -39 + 16z = 15z Solving -39 + 16z = 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -39 + 16z + -15z = 15z + -15z Combine like terms: 16z + -15z = 1z -39 + 1z = 15z + -15z Combine like terms: 15z + -15z = 0 -39 + 1z = 0 Add '39' to each side of the equation. -39 + 39 + 1z = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 1z = 0 + 39 1z = 0 + 39 Combine like terms: 0 + 39 = 39 1z = 39 Divide each side by '1'. z = 39 Simplifying z = 39
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