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Simplifying 8(2z + 7) + -5(9z) = -60 Reorder the terms: 8(7 + 2z) + -5(9z) = -60 (7 * 8 + 2z * 8) + -5(9z) = -60 (56 + 16z) + -5(9z) = -60 Remove parenthesis around (9z) 56 + 16z + -5 * 9z = -60 Multiply -5 * 9 56 + 16z + -45z = -60 Combine like terms: 16z + -45z = -29z 56 + -29z = -60 Solving 56 + -29z = -60 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -29z = -60 + -56 Combine like terms: 56 + -56 = 0 0 + -29z = -60 + -56 -29z = -60 + -56 Combine like terms: -60 + -56 = -116 -29z = -116 Divide each side by '-29'. z = 4 Simplifying z = 4
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