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Simplifying 9 + -3(-4z + -8) = 2(-6z + -2) + 9 Reorder the terms: 9 + -3(-8 + -4z) = 2(-6z + -2) + 9 9 + (-8 * -3 + -4z * -3) = 2(-6z + -2) + 9 9 + (24 + 12z) = 2(-6z + -2) + 9 Combine like terms: 9 + 24 = 33 33 + 12z = 2(-6z + -2) + 9 Reorder the terms: 33 + 12z = 2(-2 + -6z) + 9 33 + 12z = (-2 * 2 + -6z * 2) + 9 33 + 12z = (-4 + -12z) + 9 Reorder the terms: 33 + 12z = -4 + 9 + -12z Combine like terms: -4 + 9 = 5 33 + 12z = 5 + -12z Solving 33 + 12z = 5 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 33 + 12z + 12z = 5 + -12z + 12z Combine like terms: 12z + 12z = 24z 33 + 24z = 5 + -12z + 12z Combine like terms: -12z + 12z = 0 33 + 24z = 5 + 0 33 + 24z = 5 Add '-33' to each side of the equation. 33 + -33 + 24z = 5 + -33 Combine like terms: 33 + -33 = 0 0 + 24z = 5 + -33 24z = 5 + -33 Combine like terms: 5 + -33 = -28 24z = -28 Divide each side by '24'. z = -1.166666667 Simplifying z = -1.166666667
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