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Simplifying 15z + -12 = 3(14 + 3z) Reorder the terms: -12 + 15z = 3(14 + 3z) -12 + 15z = (14 * 3 + 3z * 3) -12 + 15z = (42 + 9z) Solving -12 + 15z = 42 + 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 = 42 + 9z + -9z Combine like terms: 15z + -9z = 6z -12 + 6z = 42 + 9z + -9z Combine like terms: 9z + -9z = 0 -12 + 6z = 42 + 0 -12 + 6z = 42 Add '12' to each side of the equation. -12 + 12 + 6z = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 6z = 42 + 12 6z = 42 + 12 Combine like terms: 42 + 12 = 54 6z = 54 Divide each side by '6'. z = 9 Simplifying z = 9
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