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Simplifying 6z + -3 = 15z + -75 Reorder the terms: -3 + 6z = 15z + -75 Reorder the terms: -3 + 6z = -75 + 15z Solving -3 + 6z = -75 + 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. -3 + 6z + -15z = -75 + 15z + -15z Combine like terms: 6z + -15z = -9z -3 + -9z = -75 + 15z + -15z Combine like terms: 15z + -15z = 0 -3 + -9z = -75 + 0 -3 + -9z = -75 Add '3' to each side of the equation. -3 + 3 + -9z = -75 + 3 Combine like terms: -3 + 3 = 0 0 + -9z = -75 + 3 -9z = -75 + 3 Combine like terms: -75 + 3 = -72 -9z = -72 Divide each side by '-9'. z = 8 Simplifying z = 8
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