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Simplifying 6(z + 9) = -2 + 2z Reorder the terms: 6(9 + z) = -2 + 2z (9 * 6 + z * 6) = -2 + 2z (54 + 6z) = -2 + 2z Solving 54 + 6z = -2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 54 + 6z + -2z = -2 + 2z + -2z Combine like terms: 6z + -2z = 4z 54 + 4z = -2 + 2z + -2z Combine like terms: 2z + -2z = 0 54 + 4z = -2 + 0 54 + 4z = -2 Add '-54' to each side of the equation. 54 + -54 + 4z = -2 + -54 Combine like terms: 54 + -54 = 0 0 + 4z = -2 + -54 4z = -2 + -54 Combine like terms: -2 + -54 = -56 4z = -56 Divide each side by '4'. z = -14 Simplifying z = -14
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