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Simplifying -8 + -9(4z + -6) = 7(-3z + 1) + -2 Reorder the terms: -8 + -9(-6 + 4z) = 7(-3z + 1) + -2 -8 + (-6 * -9 + 4z * -9) = 7(-3z + 1) + -2 -8 + (54 + -36z) = 7(-3z + 1) + -2 Combine like terms: -8 + 54 = 46 46 + -36z = 7(-3z + 1) + -2 Reorder the terms: 46 + -36z = 7(1 + -3z) + -2 46 + -36z = (1 * 7 + -3z * 7) + -2 46 + -36z = (7 + -21z) + -2 Reorder the terms: 46 + -36z = 7 + -2 + -21z Combine like terms: 7 + -2 = 5 46 + -36z = 5 + -21z Solving 46 + -36z = 5 + -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. 46 + -36z + 21z = 5 + -21z + 21z Combine like terms: -36z + 21z = -15z 46 + -15z = 5 + -21z + 21z Combine like terms: -21z + 21z = 0 46 + -15z = 5 + 0 46 + -15z = 5 Add '-46' to each side of the equation. 46 + -46 + -15z = 5 + -46 Combine like terms: 46 + -46 = 0 0 + -15z = 5 + -46 -15z = 5 + -46 Combine like terms: 5 + -46 = -41 -15z = -41 Divide each side by '-15'. z = 2.733333333 Simplifying z = 2.733333333
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