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Simplifying -3 + 6(z + 2) = 6(-5z + -1) + -2 Reorder the terms: -3 + 6(2 + z) = 6(-5z + -1) + -2 -3 + (2 * 6 + z * 6) = 6(-5z + -1) + -2 -3 + (12 + 6z) = 6(-5z + -1) + -2 Combine like terms: -3 + 12 = 9 9 + 6z = 6(-5z + -1) + -2 Reorder the terms: 9 + 6z = 6(-1 + -5z) + -2 9 + 6z = (-1 * 6 + -5z * 6) + -2 9 + 6z = (-6 + -30z) + -2 Reorder the terms: 9 + 6z = -6 + -2 + -30z Combine like terms: -6 + -2 = -8 9 + 6z = -8 + -30z Solving 9 + 6z = -8 + -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. 9 + 6z + 30z = -8 + -30z + 30z Combine like terms: 6z + 30z = 36z 9 + 36z = -8 + -30z + 30z Combine like terms: -30z + 30z = 0 9 + 36z = -8 + 0 9 + 36z = -8 Add '-9' to each side of the equation. 9 + -9 + 36z = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 36z = -8 + -9 36z = -8 + -9 Combine like terms: -8 + -9 = -17 36z = -17 Divide each side by '36'. z = -0.4722222222 Simplifying z = -0.4722222222
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