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Simplifying 9(z + 6) = 8(z + -4) + 2 Reorder the terms: 9(6 + z) = 8(z + -4) + 2 (6 * 9 + z * 9) = 8(z + -4) + 2 (54 + 9z) = 8(z + -4) + 2 Reorder the terms: 54 + 9z = 8(-4 + z) + 2 54 + 9z = (-4 * 8 + z * 8) + 2 54 + 9z = (-32 + 8z) + 2 Reorder the terms: 54 + 9z = -32 + 2 + 8z Combine like terms: -32 + 2 = -30 54 + 9z = -30 + 8z Solving 54 + 9z = -30 + 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. 54 + 9z + -8z = -30 + 8z + -8z Combine like terms: 9z + -8z = 1z 54 + 1z = -30 + 8z + -8z Combine like terms: 8z + -8z = 0 54 + 1z = -30 + 0 54 + 1z = -30 Add '-54' to each side of the equation. 54 + -54 + 1z = -30 + -54 Combine like terms: 54 + -54 = 0 0 + 1z = -30 + -54 1z = -30 + -54 Combine like terms: -30 + -54 = -84 1z = -84 Divide each side by '1'. z = -84 Simplifying z = -84
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