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Simplifying 9(z + -9) + -1(-7z + -1) = 15z Reorder the terms: 9(-9 + z) + -1(-7z + -1) = 15z (-9 * 9 + z * 9) + -1(-7z + -1) = 15z (-81 + 9z) + -1(-7z + -1) = 15z Reorder the terms: -81 + 9z + -1(-1 + -7z) = 15z -81 + 9z + (-1 * -1 + -7z * -1) = 15z -81 + 9z + (1 + 7z) = 15z Reorder the terms: -81 + 1 + 9z + 7z = 15z Combine like terms: -81 + 1 = -80 -80 + 9z + 7z = 15z Combine like terms: 9z + 7z = 16z -80 + 16z = 15z Solving -80 + 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. -80 + 16z + -15z = 15z + -15z Combine like terms: 16z + -15z = 1z -80 + 1z = 15z + -15z Combine like terms: 15z + -15z = 0 -80 + 1z = 0 Add '80' to each side of the equation. -80 + 80 + 1z = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 1z = 0 + 80 1z = 0 + 80 Combine like terms: 0 + 80 = 80 1z = 80 Divide each side by '1'. z = 80 Simplifying z = 80
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