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Simplifying 2z + 6 + -4z + -3 = 5z + 12 Reorder the terms: 6 + -3 + 2z + -4z = 5z + 12 Combine like terms: 6 + -3 = 3 3 + 2z + -4z = 5z + 12 Combine like terms: 2z + -4z = -2z 3 + -2z = 5z + 12 Reorder the terms: 3 + -2z = 12 + 5z Solving 3 + -2z = 12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 3 + -2z + -5z = 12 + 5z + -5z Combine like terms: -2z + -5z = -7z 3 + -7z = 12 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + -7z = 12 + 0 3 + -7z = 12 Add '-3' to each side of the equation. 3 + -3 + -7z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -7z = 12 + -3 -7z = 12 + -3 Combine like terms: 12 + -3 = 9 -7z = 9 Divide each side by '-7'. z = -1.285714286 Simplifying z = -1.285714286
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