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Simplifying 2z + 32 = 2(7z + -2) Reorder the terms: 32 + 2z = 2(7z + -2) Reorder the terms: 32 + 2z = 2(-2 + 7z) 32 + 2z = (-2 * 2 + 7z * 2) 32 + 2z = (-4 + 14z) Solving 32 + 2z = -4 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 32 + 2z + -14z = -4 + 14z + -14z Combine like terms: 2z + -14z = -12z 32 + -12z = -4 + 14z + -14z Combine like terms: 14z + -14z = 0 32 + -12z = -4 + 0 32 + -12z = -4 Add '-32' to each side of the equation. 32 + -32 + -12z = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -12z = -4 + -32 -12z = -4 + -32 Combine like terms: -4 + -32 = -36 -12z = -36 Divide each side by '-12'. z = 3 Simplifying z = 3
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