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Simplifying 8 + 6(6z + -9) = 2(-4z + -9) + -5 Reorder the terms: 8 + 6(-9 + 6z) = 2(-4z + -9) + -5 8 + (-9 * 6 + 6z * 6) = 2(-4z + -9) + -5 8 + (-54 + 36z) = 2(-4z + -9) + -5 Combine like terms: 8 + -54 = -46 -46 + 36z = 2(-4z + -9) + -5 Reorder the terms: -46 + 36z = 2(-9 + -4z) + -5 -46 + 36z = (-9 * 2 + -4z * 2) + -5 -46 + 36z = (-18 + -8z) + -5 Reorder the terms: -46 + 36z = -18 + -5 + -8z Combine like terms: -18 + -5 = -23 -46 + 36z = -23 + -8z Solving -46 + 36z = -23 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -46 + 36z + 8z = -23 + -8z + 8z Combine like terms: 36z + 8z = 44z -46 + 44z = -23 + -8z + 8z Combine like terms: -8z + 8z = 0 -46 + 44z = -23 + 0 -46 + 44z = -23 Add '46' to each side of the equation. -46 + 46 + 44z = -23 + 46 Combine like terms: -46 + 46 = 0 0 + 44z = -23 + 46 44z = -23 + 46 Combine like terms: -23 + 46 = 23 44z = 23 Divide each side by '44'. z = 0.5227272727 Simplifying z = 0.5227272727
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