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Simplifying 9(z + 9) + -1(-7z + -2) = 15z Reorder the terms: 9(9 + z) + -1(-7z + -2) = 15z (9 * 9 + z * 9) + -1(-7z + -2) = 15z (81 + 9z) + -1(-7z + -2) = 15z Reorder the terms: 81 + 9z + -1(-2 + -7z) = 15z 81 + 9z + (-2 * -1 + -7z * -1) = 15z 81 + 9z + (2 + 7z) = 15z Reorder the terms: 81 + 2 + 9z + 7z = 15z Combine like terms: 81 + 2 = 83 83 + 9z + 7z = 15z Combine like terms: 9z + 7z = 16z 83 + 16z = 15z Solving 83 + 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. 83 + 16z + -15z = 15z + -15z Combine like terms: 16z + -15z = 1z 83 + 1z = 15z + -15z Combine like terms: 15z + -15z = 0 83 + 1z = 0 Add '-83' to each side of the equation. 83 + -83 + 1z = 0 + -83 Combine like terms: 83 + -83 = 0 0 + 1z = 0 + -83 1z = 0 + -83 Combine like terms: 0 + -83 = -83 1z = -83 Divide each side by '1'. z = -83 Simplifying z = -83
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