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Simplifying 5(6z + -1) + -4(2 + 6) = 9(z + 1) Reorder the terms: 5(-1 + 6z) + -4(2 + 6) = 9(z + 1) (-1 * 5 + 6z * 5) + -4(2 + 6) = 9(z + 1) (-5 + 30z) + -4(2 + 6) = 9(z + 1) Combine like terms: 2 + 6 = 8 -5 + 30z + -4(8) = 9(z + 1) Multiply -4 * 8 -5 + 30z + -32 = 9(z + 1) Reorder the terms: -5 + -32 + 30z = 9(z + 1) Combine like terms: -5 + -32 = -37 -37 + 30z = 9(z + 1) Reorder the terms: -37 + 30z = 9(1 + z) -37 + 30z = (1 * 9 + z * 9) -37 + 30z = (9 + 9z) Solving -37 + 30z = 9 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -37 + 30z + -9z = 9 + 9z + -9z Combine like terms: 30z + -9z = 21z -37 + 21z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -37 + 21z = 9 + 0 -37 + 21z = 9 Add '37' to each side of the equation. -37 + 37 + 21z = 9 + 37 Combine like terms: -37 + 37 = 0 0 + 21z = 9 + 37 21z = 9 + 37 Combine like terms: 9 + 37 = 46 21z = 46 Divide each side by '21'. z = 2.19047619 Simplifying z = 2.19047619
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