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Simplifying 24 = 15 + -1(4z + -3) Reorder the terms: 24 = 15 + -1(-3 + 4z) 24 = 15 + (-3 * -1 + 4z * -1) 24 = 15 + (3 + -4z) Combine like terms: 15 + 3 = 18 24 = 18 + -4z Solving 24 = 18 + -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. 24 + 4z = 18 + -4z + 4z Combine like terms: -4z + 4z = 0 24 + 4z = 18 + 0 24 + 4z = 18 Add '-24' to each side of the equation. 24 + -24 + 4z = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 4z = 18 + -24 4z = 18 + -24 Combine like terms: 18 + -24 = -6 4z = -6 Divide each side by '4'. z = -1.5 Simplifying z = -1.5
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