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Simplifying -2z + 23 + 3z + -16 = -14 + 32 Reorder the terms: 23 + -16 + -2z + 3z = -14 + 32 Combine like terms: 23 + -16 = 7 7 + -2z + 3z = -14 + 32 Combine like terms: -2z + 3z = 1z 7 + 1z = -14 + 32 Combine like terms: -14 + 32 = 18 7 + 1z = 18 Solving 7 + 1z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1z = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 18 + -7 1z = 18 + -7 Combine like terms: 18 + -7 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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