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Simplifying 6(5z + -1) + -2(z + 1) = 9(z + 1) Reorder the terms: 6(-1 + 5z) + -2(z + 1) = 9(z + 1) (-1 * 6 + 5z * 6) + -2(z + 1) = 9(z + 1) (-6 + 30z) + -2(z + 1) = 9(z + 1) Reorder the terms: -6 + 30z + -2(1 + z) = 9(z + 1) -6 + 30z + (1 * -2 + z * -2) = 9(z + 1) -6 + 30z + (-2 + -2z) = 9(z + 1) Reorder the terms: -6 + -2 + 30z + -2z = 9(z + 1) Combine like terms: -6 + -2 = -8 -8 + 30z + -2z = 9(z + 1) Combine like terms: 30z + -2z = 28z -8 + 28z = 9(z + 1) Reorder the terms: -8 + 28z = 9(1 + z) -8 + 28z = (1 * 9 + z * 9) -8 + 28z = (9 + 9z) Solving -8 + 28z = 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. -8 + 28z + -9z = 9 + 9z + -9z Combine like terms: 28z + -9z = 19z -8 + 19z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -8 + 19z = 9 + 0 -8 + 19z = 9 Add '8' to each side of the equation. -8 + 8 + 19z = 9 + 8 Combine like terms: -8 + 8 = 0 0 + 19z = 9 + 8 19z = 9 + 8 Combine like terms: 9 + 8 = 17 19z = 17 Divide each side by '19'. z = 0.8947368421 Simplifying z = 0.8947368421
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