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Simplifying -6 + -2(-5z + -6) = 5(-2z + -1) + -5 Reorder the terms: -6 + -2(-6 + -5z) = 5(-2z + -1) + -5 -6 + (-6 * -2 + -5z * -2) = 5(-2z + -1) + -5 -6 + (12 + 10z) = 5(-2z + -1) + -5 Combine like terms: -6 + 12 = 6 6 + 10z = 5(-2z + -1) + -5 Reorder the terms: 6 + 10z = 5(-1 + -2z) + -5 6 + 10z = (-1 * 5 + -2z * 5) + -5 6 + 10z = (-5 + -10z) + -5 Reorder the terms: 6 + 10z = -5 + -5 + -10z Combine like terms: -5 + -5 = -10 6 + 10z = -10 + -10z Solving 6 + 10z = -10 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 6 + 10z + 10z = -10 + -10z + 10z Combine like terms: 10z + 10z = 20z 6 + 20z = -10 + -10z + 10z Combine like terms: -10z + 10z = 0 6 + 20z = -10 + 0 6 + 20z = -10 Add '-6' to each side of the equation. 6 + -6 + 20z = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 20z = -10 + -6 20z = -10 + -6 Combine like terms: -10 + -6 = -16 20z = -16 Divide each side by '20'. z = -0.8 Simplifying z = -0.8
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