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Simplifying 6(-2z + 5) = -9z + 16 Reorder the terms: 6(5 + -2z) = -9z + 16 (5 * 6 + -2z * 6) = -9z + 16 (30 + -12z) = -9z + 16 Reorder the terms: 30 + -12z = 16 + -9z Solving 30 + -12z = 16 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 30 + -12z + 9z = 16 + -9z + 9z Combine like terms: -12z + 9z = -3z 30 + -3z = 16 + -9z + 9z Combine like terms: -9z + 9z = 0 30 + -3z = 16 + 0 30 + -3z = 16 Add '-30' to each side of the equation. 30 + -30 + -3z = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -3z = 16 + -30 -3z = 16 + -30 Combine like terms: 16 + -30 = -14 -3z = -14 Divide each side by '-3'. z = 4.666666667 Simplifying z = 4.666666667
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