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Simplifying 5(6z + -1) + -5(z + 3) = 9(z + 1) Reorder the terms: 5(-1 + 6z) + -5(z + 3) = 9(z + 1) (-1 * 5 + 6z * 5) + -5(z + 3) = 9(z + 1) (-5 + 30z) + -5(z + 3) = 9(z + 1) Reorder the terms: -5 + 30z + -5(3 + z) = 9(z + 1) -5 + 30z + (3 * -5 + z * -5) = 9(z + 1) -5 + 30z + (-15 + -5z) = 9(z + 1) Reorder the terms: -5 + -15 + 30z + -5z = 9(z + 1) Combine like terms: -5 + -15 = -20 -20 + 30z + -5z = 9(z + 1) Combine like terms: 30z + -5z = 25z -20 + 25z = 9(z + 1) Reorder the terms: -20 + 25z = 9(1 + z) -20 + 25z = (1 * 9 + z * 9) -20 + 25z = (9 + 9z) Solving -20 + 25z = 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. -20 + 25z + -9z = 9 + 9z + -9z Combine like terms: 25z + -9z = 16z -20 + 16z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -20 + 16z = 9 + 0 -20 + 16z = 9 Add '20' to each side of the equation. -20 + 20 + 16z = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 16z = 9 + 20 16z = 9 + 20 Combine like terms: 9 + 20 = 29 16z = 29 Divide each side by '16'. z = 1.8125 Simplifying z = 1.8125
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