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Simplifying 9(5z + 2) + -7(8z) = -15 Reorder the terms: 9(2 + 5z) + -7(8z) = -15 (2 * 9 + 5z * 9) + -7(8z) = -15 (18 + 45z) + -7(8z) = -15 Remove parenthesis around (8z) 18 + 45z + -7 * 8z = -15 Multiply -7 * 8 18 + 45z + -56z = -15 Combine like terms: 45z + -56z = -11z 18 + -11z = -15 Solving 18 + -11z = -15 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -11z = -15 + -18 Combine like terms: 18 + -18 = 0 0 + -11z = -15 + -18 -11z = -15 + -18 Combine like terms: -15 + -18 = -33 -11z = -33 Divide each side by '-11'. z = 3 Simplifying z = 3
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