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Simplifying 2(z + -1) + 3 = 117 Reorder the terms: 2(-1 + z) + 3 = 117 (-1 * 2 + z * 2) + 3 = 117 (-2 + 2z) + 3 = 117 Reorder the terms: -2 + 3 + 2z = 117 Combine like terms: -2 + 3 = 1 1 + 2z = 117 Solving 1 + 2z = 117 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2z = 117 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 117 + -1 2z = 117 + -1 Combine like terms: 117 + -1 = 116 2z = 116 Divide each side by '2'. z = 58 Simplifying z = 58
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