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Simplifying 5z + 3 = 2z + -12 Reorder the terms: 3 + 5z = 2z + -12 Reorder the terms: 3 + 5z = -12 + 2z Solving 3 + 5z = -12 + 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. 3 + 5z + -2z = -12 + 2z + -2z Combine like terms: 5z + -2z = 3z 3 + 3z = -12 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 3z = -12 + 0 3 + 3z = -12 Add '-3' to each side of the equation. 3 + -3 + 3z = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 3z = -12 + -3 3z = -12 + -3 Combine like terms: -12 + -3 = -15 3z = -15 Divide each side by '3'. z = -5 Simplifying z = -5
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