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Simplifying 15z + -12 = 3(14 + 3z) + -12 Reorder the terms: -12 + 15z = 3(14 + 3z) + -12 -12 + 15z = (14 * 3 + 3z * 3) + -12 -12 + 15z = (42 + 9z) + -12 Reorder the terms: -12 + 15z = 42 + -12 + 9z Combine like terms: 42 + -12 = 30 -12 + 15z = 30 + 9z Solving -12 + 15z = 30 + 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. -12 + 15z + -9z = 30 + 9z + -9z Combine like terms: 15z + -9z = 6z -12 + 6z = 30 + 9z + -9z Combine like terms: 9z + -9z = 0 -12 + 6z = 30 + 0 -12 + 6z = 30 Add '12' to each side of the equation. -12 + 12 + 6z = 30 + 12 Combine like terms: -12 + 12 = 0 0 + 6z = 30 + 12 6z = 30 + 12 Combine like terms: 30 + 12 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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