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Simplifying 8 + -6(3z + -4) = 5(-8z + 9) + 8 Reorder the terms: 8 + -6(-4 + 3z) = 5(-8z + 9) + 8 8 + (-4 * -6 + 3z * -6) = 5(-8z + 9) + 8 8 + (24 + -18z) = 5(-8z + 9) + 8 Combine like terms: 8 + 24 = 32 32 + -18z = 5(-8z + 9) + 8 Reorder the terms: 32 + -18z = 5(9 + -8z) + 8 32 + -18z = (9 * 5 + -8z * 5) + 8 32 + -18z = (45 + -40z) + 8 Reorder the terms: 32 + -18z = 45 + 8 + -40z Combine like terms: 45 + 8 = 53 32 + -18z = 53 + -40z Solving 32 + -18z = 53 + -40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40z' to each side of the equation. 32 + -18z + 40z = 53 + -40z + 40z Combine like terms: -18z + 40z = 22z 32 + 22z = 53 + -40z + 40z Combine like terms: -40z + 40z = 0 32 + 22z = 53 + 0 32 + 22z = 53 Add '-32' to each side of the equation. 32 + -32 + 22z = 53 + -32 Combine like terms: 32 + -32 = 0 0 + 22z = 53 + -32 22z = 53 + -32 Combine like terms: 53 + -32 = 21 22z = 21 Divide each side by '22'. z = 0.9545454545 Simplifying z = 0.9545454545
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