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Simplifying 6(4z + -5) = 3 + -5z Reorder the terms: 6(-5 + 4z) = 3 + -5z (-5 * 6 + 4z * 6) = 3 + -5z (-30 + 24z) = 3 + -5z Solving -30 + 24z = 3 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -30 + 24z + 5z = 3 + -5z + 5z Combine like terms: 24z + 5z = 29z -30 + 29z = 3 + -5z + 5z Combine like terms: -5z + 5z = 0 -30 + 29z = 3 + 0 -30 + 29z = 3 Add '30' to each side of the equation. -30 + 30 + 29z = 3 + 30 Combine like terms: -30 + 30 = 0 0 + 29z = 3 + 30 29z = 3 + 30 Combine like terms: 3 + 30 = 33 29z = 33 Divide each side by '29'. z = 1.137931034 Simplifying z = 1.137931034
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