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Simplifying 5(z + 8) + -1(3 + 9z) = 5z Reorder the terms: 5(8 + z) + -1(3 + 9z) = 5z (8 * 5 + z * 5) + -1(3 + 9z) = 5z (40 + 5z) + -1(3 + 9z) = 5z 40 + 5z + (3 * -1 + 9z * -1) = 5z 40 + 5z + (-3 + -9z) = 5z Reorder the terms: 40 + -3 + 5z + -9z = 5z Combine like terms: 40 + -3 = 37 37 + 5z + -9z = 5z Combine like terms: 5z + -9z = -4z 37 + -4z = 5z Solving 37 + -4z = 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. 37 + -4z + -5z = 5z + -5z Combine like terms: -4z + -5z = -9z 37 + -9z = 5z + -5z Combine like terms: 5z + -5z = 0 37 + -9z = 0 Add '-37' to each side of the equation. 37 + -37 + -9z = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -9z = 0 + -37 -9z = 0 + -37 Combine like terms: 0 + -37 = -37 -9z = -37 Divide each side by '-9'. z = 4.111111111 Simplifying z = 4.111111111
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