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Simplifying 6z + -15 = 3z + 12 Reorder the terms: -15 + 6z = 3z + 12 Reorder the terms: -15 + 6z = 12 + 3z Solving -15 + 6z = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -15 + 6z + -3z = 12 + 3z + -3z Combine like terms: 6z + -3z = 3z -15 + 3z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 -15 + 3z = 12 + 0 -15 + 3z = 12 Add '15' to each side of the equation. -15 + 15 + 3z = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3z = 12 + 15 3z = 12 + 15 Combine like terms: 12 + 15 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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