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Simplifying 6(5z + -1) + -5(z + 4) = 9(z + 1) Reorder the terms: 6(-1 + 5z) + -5(z + 4) = 9(z + 1) (-1 * 6 + 5z * 6) + -5(z + 4) = 9(z + 1) (-6 + 30z) + -5(z + 4) = 9(z + 1) Reorder the terms: -6 + 30z + -5(4 + z) = 9(z + 1) -6 + 30z + (4 * -5 + z * -5) = 9(z + 1) -6 + 30z + (-20 + -5z) = 9(z + 1) Reorder the terms: -6 + -20 + 30z + -5z = 9(z + 1) Combine like terms: -6 + -20 = -26 -26 + 30z + -5z = 9(z + 1) Combine like terms: 30z + -5z = 25z -26 + 25z = 9(z + 1) Reorder the terms: -26 + 25z = 9(1 + z) -26 + 25z = (1 * 9 + z * 9) -26 + 25z = (9 + 9z) Solving -26 + 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. -26 + 25z + -9z = 9 + 9z + -9z Combine like terms: 25z + -9z = 16z -26 + 16z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -26 + 16z = 9 + 0 -26 + 16z = 9 Add '26' to each side of the equation. -26 + 26 + 16z = 9 + 26 Combine like terms: -26 + 26 = 0 0 + 16z = 9 + 26 16z = 9 + 26 Combine like terms: 9 + 26 = 35 16z = 35 Divide each side by '16'. z = 2.1875 Simplifying z = 2.1875
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