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Simplifying 18 = 6 + -1(z + 7) Reorder the terms: 18 = 6 + -1(7 + z) 18 = 6 + (7 * -1 + z * -1) 18 = 6 + (-7 + -1z) Combine like terms: 6 + -7 = -1 18 = -1 + -1z Solving 18 = -1 + -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. 18 + z = -1 + -1z + z Combine like terms: -1z + z = 0 18 + z = -1 + 0 18 + z = -1 Add '-18' to each side of the equation. 18 + -18 + z = -1 + -18 Combine like terms: 18 + -18 = 0 0 + z = -1 + -18 z = -1 + -18 Combine like terms: -1 + -18 = -19 z = -19 Simplifying z = -19
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