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Simplifying -3z + 3(10z + 12) = -6(-5z + 15) Reorder the terms: -3z + 3(12 + 10z) = -6(-5z + 15) -3z + (12 * 3 + 10z * 3) = -6(-5z + 15) -3z + (36 + 30z) = -6(-5z + 15) Reorder the terms: 36 + -3z + 30z = -6(-5z + 15) Combine like terms: -3z + 30z = 27z 36 + 27z = -6(-5z + 15) Reorder the terms: 36 + 27z = -6(15 + -5z) 36 + 27z = (15 * -6 + -5z * -6) 36 + 27z = (-90 + 30z) Solving 36 + 27z = -90 + 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. 36 + 27z + -30z = -90 + 30z + -30z Combine like terms: 27z + -30z = -3z 36 + -3z = -90 + 30z + -30z Combine like terms: 30z + -30z = 0 36 + -3z = -90 + 0 36 + -3z = -90 Add '-36' to each side of the equation. 36 + -36 + -3z = -90 + -36 Combine like terms: 36 + -36 = 0 0 + -3z = -90 + -36 -3z = -90 + -36 Combine like terms: -90 + -36 = -126 -3z = -126 Divide each side by '-3'. z = 42 Simplifying z = 42
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