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Simplifying 5(6z + -1) + -4(z + 3) = 9(z + 1) Reorder the terms: 5(-1 + 6z) + -4(z + 3) = 9(z + 1) (-1 * 5 + 6z * 5) + -4(z + 3) = 9(z + 1) (-5 + 30z) + -4(z + 3) = 9(z + 1) Reorder the terms: -5 + 30z + -4(3 + z) = 9(z + 1) -5 + 30z + (3 * -4 + z * -4) = 9(z + 1) -5 + 30z + (-12 + -4z) = 9(z + 1) Reorder the terms: -5 + -12 + 30z + -4z = 9(z + 1) Combine like terms: -5 + -12 = -17 -17 + 30z + -4z = 9(z + 1) Combine like terms: 30z + -4z = 26z -17 + 26z = 9(z + 1) Reorder the terms: -17 + 26z = 9(1 + z) -17 + 26z = (1 * 9 + z * 9) -17 + 26z = (9 + 9z) Solving -17 + 26z = 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. -17 + 26z + -9z = 9 + 9z + -9z Combine like terms: 26z + -9z = 17z -17 + 17z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -17 + 17z = 9 + 0 -17 + 17z = 9 Add '17' to each side of the equation. -17 + 17 + 17z = 9 + 17 Combine like terms: -17 + 17 = 0 0 + 17z = 9 + 17 17z = 9 + 17 Combine like terms: 9 + 17 = 26 17z = 26 Divide each side by '17'. z = 1.529411765 Simplifying z = 1.529411765
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