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Simplifying 8 + 2(-4z + 2) = -6(5z + 6) + 9 Reorder the terms: 8 + 2(2 + -4z) = -6(5z + 6) + 9 8 + (2 * 2 + -4z * 2) = -6(5z + 6) + 9 8 + (4 + -8z) = -6(5z + 6) + 9 Combine like terms: 8 + 4 = 12 12 + -8z = -6(5z + 6) + 9 Reorder the terms: 12 + -8z = -6(6 + 5z) + 9 12 + -8z = (6 * -6 + 5z * -6) + 9 12 + -8z = (-36 + -30z) + 9 Reorder the terms: 12 + -8z = -36 + 9 + -30z Combine like terms: -36 + 9 = -27 12 + -8z = -27 + -30z Solving 12 + -8z = -27 + -30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30z' to each side of the equation. 12 + -8z + 30z = -27 + -30z + 30z Combine like terms: -8z + 30z = 22z 12 + 22z = -27 + -30z + 30z Combine like terms: -30z + 30z = 0 12 + 22z = -27 + 0 12 + 22z = -27 Add '-12' to each side of the equation. 12 + -12 + 22z = -27 + -12 Combine like terms: 12 + -12 = 0 0 + 22z = -27 + -12 22z = -27 + -12 Combine like terms: -27 + -12 = -39 22z = -39 Divide each side by '22'. z = -1.772727273 Simplifying z = -1.772727273
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