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Simplifying 15 + -3z = -9(6z + 5) Reorder the terms: 15 + -3z = -9(5 + 6z) 15 + -3z = (5 * -9 + 6z * -9) 15 + -3z = (-45 + -54z) Solving 15 + -3z = -45 + -54z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '54z' to each side of the equation. 15 + -3z + 54z = -45 + -54z + 54z Combine like terms: -3z + 54z = 51z 15 + 51z = -45 + -54z + 54z Combine like terms: -54z + 54z = 0 15 + 51z = -45 + 0 15 + 51z = -45 Add '-15' to each side of the equation. 15 + -15 + 51z = -45 + -15 Combine like terms: 15 + -15 = 0 0 + 51z = -45 + -15 51z = -45 + -15 Combine like terms: -45 + -15 = -60 51z = -60 Divide each side by '51'. z = -1.176470588 Simplifying z = -1.176470588
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