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Simplifying 19 = 7 + -1(z + 9) Reorder the terms: 19 = 7 + -1(9 + z) 19 = 7 + (9 * -1 + z * -1) 19 = 7 + (-9 + -1z) Combine like terms: 7 + -9 = -2 19 = -2 + -1z Solving 19 = -2 + -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. 19 + z = -2 + -1z + z Combine like terms: -1z + z = 0 19 + z = -2 + 0 19 + z = -2 Add '-19' to each side of the equation. 19 + -19 + z = -2 + -19 Combine like terms: 19 + -19 = 0 0 + z = -2 + -19 z = -2 + -19 Combine like terms: -2 + -19 = -21 z = -21 Simplifying z = -21
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