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Simplifying 5z + -12 = 2z + 15 Reorder the terms: -12 + 5z = 2z + 15 Reorder the terms: -12 + 5z = 15 + 2z Solving -12 + 5z = 15 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -12 + 5z + -2z = 15 + 2z + -2z Combine like terms: 5z + -2z = 3z -12 + 3z = 15 + 2z + -2z Combine like terms: 2z + -2z = 0 -12 + 3z = 15 + 0 -12 + 3z = 15 Add '12' to each side of the equation. -12 + 12 + 3z = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = 15 + 12 3z = 15 + 12 Combine like terms: 15 + 12 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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