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Simplifying 42 = 17 + -1(4z + -7) Reorder the terms: 42 = 17 + -1(-7 + 4z) 42 = 17 + (-7 * -1 + 4z * -1) 42 = 17 + (7 + -4z) Combine like terms: 17 + 7 = 24 42 = 24 + -4z Solving 42 = 24 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 42 + 4z = 24 + -4z + 4z Combine like terms: -4z + 4z = 0 42 + 4z = 24 + 0 42 + 4z = 24 Add '-42' to each side of the equation. 42 + -42 + 4z = 24 + -42 Combine like terms: 42 + -42 = 0 0 + 4z = 24 + -42 4z = 24 + -42 Combine like terms: 24 + -42 = -18 4z = -18 Divide each side by '4'. z = -4.5 Simplifying z = -4.5
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