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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 = -7z -12 + -7z = 15 + 2z + -2z Combine like terms: 2z + -2z = 0 -12 + -7z = 15 + 0 -12 + -7z = 15 Add '12' to each side of the equation. -12 + 12 + -7z = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -7z = 15 + 12 -7z = 15 + 12 Combine like terms: 15 + 12 = 27 -7z = 27 Divide each side by '-7'. z = -3.857142857 Simplifying z = -3.857142857
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