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Simplifying 15 = 4 + -1(z + 7) Reorder the terms: 15 = 4 + -1(7 + z) 15 = 4 + (7 * -1 + z * -1) 15 = 4 + (-7 + -1z) Combine like terms: 4 + -7 = -3 15 = -3 + -1z Solving 15 = -3 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 15 + z = -3 + -1z + z Combine like terms: -1z + z = 0 15 + z = -3 + 0 15 + z = -3 Add '-15' to each side of the equation. 15 + -15 + z = -3 + -15 Combine like terms: 15 + -15 = 0 0 + z = -3 + -15 z = -3 + -15 Combine like terms: -3 + -15 = -18 z = -18 Simplifying z = -18
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