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Simplifying 5 + 2(-1z + 2) = 5(-6z + -4) + 5 Reorder the terms: 5 + 2(2 + -1z) = 5(-6z + -4) + 5 5 + (2 * 2 + -1z * 2) = 5(-6z + -4) + 5 5 + (4 + -2z) = 5(-6z + -4) + 5 Combine like terms: 5 + 4 = 9 9 + -2z = 5(-6z + -4) + 5 Reorder the terms: 9 + -2z = 5(-4 + -6z) + 5 9 + -2z = (-4 * 5 + -6z * 5) + 5 9 + -2z = (-20 + -30z) + 5 Reorder the terms: 9 + -2z = -20 + 5 + -30z Combine like terms: -20 + 5 = -15 9 + -2z = -15 + -30z Solving 9 + -2z = -15 + -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 + -2z + 30z = -15 + -30z + 30z Combine like terms: -2z + 30z = 28z 9 + 28z = -15 + -30z + 30z Combine like terms: -30z + 30z = 0 9 + 28z = -15 + 0 9 + 28z = -15 Add '-9' to each side of the equation. 9 + -9 + 28z = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 28z = -15 + -9 28z = -15 + -9 Combine like terms: -15 + -9 = -24 28z = -24 Divide each side by '28'. z = -0.8571428571 Simplifying z = -0.8571428571
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