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Simplifying -8 + 6(z + 6) = 2(2z + -6) + -2 Reorder the terms: -8 + 6(6 + z) = 2(2z + -6) + -2 -8 + (6 * 6 + z * 6) = 2(2z + -6) + -2 -8 + (36 + 6z) = 2(2z + -6) + -2 Combine like terms: -8 + 36 = 28 28 + 6z = 2(2z + -6) + -2 Reorder the terms: 28 + 6z = 2(-6 + 2z) + -2 28 + 6z = (-6 * 2 + 2z * 2) + -2 28 + 6z = (-12 + 4z) + -2 Reorder the terms: 28 + 6z = -12 + -2 + 4z Combine like terms: -12 + -2 = -14 28 + 6z = -14 + 4z Solving 28 + 6z = -14 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 28 + 6z + -4z = -14 + 4z + -4z Combine like terms: 6z + -4z = 2z 28 + 2z = -14 + 4z + -4z Combine like terms: 4z + -4z = 0 28 + 2z = -14 + 0 28 + 2z = -14 Add '-28' to each side of the equation. 28 + -28 + 2z = -14 + -28 Combine like terms: 28 + -28 = 0 0 + 2z = -14 + -28 2z = -14 + -28 Combine like terms: -14 + -28 = -42 2z = -42 Divide each side by '2'. z = -21 Simplifying z = -21
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