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Simplifying 3(3z + -5) + -4(z + -8) = 0 Reorder the terms: 3(-5 + 3z) + -4(z + -8) = 0 (-5 * 3 + 3z * 3) + -4(z + -8) = 0 (-15 + 9z) + -4(z + -8) = 0 Reorder the terms: -15 + 9z + -4(-8 + z) = 0 -15 + 9z + (-8 * -4 + z * -4) = 0 -15 + 9z + (32 + -4z) = 0 Reorder the terms: -15 + 32 + 9z + -4z = 0 Combine like terms: -15 + 32 = 17 17 + 9z + -4z = 0 Combine like terms: 9z + -4z = 5z 17 + 5z = 0 Solving 17 + 5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5z = 0 + -17 5z = 0 + -17 Combine like terms: 0 + -17 = -17 5z = -17 Divide each side by '5'. z = -3.4 Simplifying z = -3.4
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