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Simplifying 8 + 2(2 + -5) + -3(4z + 5) + -9 = 0 Combine like terms: 2 + -5 = -3 8 + 2(-3) + -3(4z + 5) + -9 = 0 Multiply 2 * -3 8 + -6 + -3(4z + 5) + -9 = 0 Reorder the terms: 8 + -6 + -3(5 + 4z) + -9 = 0 8 + -6 + (5 * -3 + 4z * -3) + -9 = 0 8 + -6 + (-15 + -12z) + -9 = 0 Reorder the terms: 8 + -6 + -15 + -9 + -12z = 0 Combine like terms: 8 + -6 = 2 2 + -15 + -9 + -12z = 0 Combine like terms: 2 + -15 = -13 -13 + -9 + -12z = 0 Combine like terms: -13 + -9 = -22 -22 + -12z = 0 Solving -22 + -12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -12z = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -12z = 0 + 22 -12z = 0 + 22 Combine like terms: 0 + 22 = 22 -12z = 22 Divide each side by '-12'. z = -1.833333333 Simplifying z = -1.833333333
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