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Simplifying 58 = 14 + -1(8z + -8) Reorder the terms: 58 = 14 + -1(-8 + 8z) 58 = 14 + (-8 * -1 + 8z * -1) 58 = 14 + (8 + -8z) Combine like terms: 14 + 8 = 22 58 = 22 + -8z Solving 58 = 22 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 58 + 8z = 22 + -8z + 8z Combine like terms: -8z + 8z = 0 58 + 8z = 22 + 0 58 + 8z = 22 Add '-58' to each side of the equation. 58 + -58 + 8z = 22 + -58 Combine like terms: 58 + -58 = 0 0 + 8z = 22 + -58 8z = 22 + -58 Combine like terms: 22 + -58 = -36 8z = -36 Divide each side by '8'. z = -4.5 Simplifying z = -4.5
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