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Simplifying 8 + 3(2z + -5) + -3(4z + 5) + -9 = 0 Reorder the terms: 8 + 3(-5 + 2z) + -3(4z + 5) + -9 = 0 8 + (-5 * 3 + 2z * 3) + -3(4z + 5) + -9 = 0 8 + (-15 + 6z) + -3(4z + 5) + -9 = 0 Reorder the terms: 8 + -15 + 6z + -3(5 + 4z) + -9 = 0 8 + -15 + 6z + (5 * -3 + 4z * -3) + -9 = 0 8 + -15 + 6z + (-15 + -12z) + -9 = 0 Reorder the terms: 8 + -15 + -15 + -9 + 6z + -12z = 0 Combine like terms: 8 + -15 = -7 -7 + -15 + -9 + 6z + -12z = 0 Combine like terms: -7 + -15 = -22 -22 + -9 + 6z + -12z = 0 Combine like terms: -22 + -9 = -31 -31 + 6z + -12z = 0 Combine like terms: 6z + -12z = -6z -31 + -6z = 0 Solving -31 + -6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -6z = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -6z = 0 + 31 -6z = 0 + 31 Combine like terms: 0 + 31 = 31 -6z = 31 Divide each side by '-6'. z = -5.166666667 Simplifying z = -5.166666667
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