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Simplifying 9(z + 1) = 8(z + -7) + 2 Reorder the terms: 9(1 + z) = 8(z + -7) + 2 (1 * 9 + z * 9) = 8(z + -7) + 2 (9 + 9z) = 8(z + -7) + 2 Reorder the terms: 9 + 9z = 8(-7 + z) + 2 9 + 9z = (-7 * 8 + z * 8) + 2 9 + 9z = (-56 + 8z) + 2 Reorder the terms: 9 + 9z = -56 + 2 + 8z Combine like terms: -56 + 2 = -54 9 + 9z = -54 + 8z Solving 9 + 9z = -54 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 9 + 9z + -8z = -54 + 8z + -8z Combine like terms: 9z + -8z = 1z 9 + 1z = -54 + 8z + -8z Combine like terms: 8z + -8z = 0 9 + 1z = -54 + 0 9 + 1z = -54 Add '-9' to each side of the equation. 9 + -9 + 1z = -54 + -9 Combine like terms: 9 + -9 = 0 0 + 1z = -54 + -9 1z = -54 + -9 Combine like terms: -54 + -9 = -63 1z = -63 Divide each side by '1'. z = -63 Simplifying z = -63
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