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Simplifying 6(3z + -1) + -2(z + 9) = 9(z + 1) Reorder the terms: 6(-1 + 3z) + -2(z + 9) = 9(z + 1) (-1 * 6 + 3z * 6) + -2(z + 9) = 9(z + 1) (-6 + 18z) + -2(z + 9) = 9(z + 1) Reorder the terms: -6 + 18z + -2(9 + z) = 9(z + 1) -6 + 18z + (9 * -2 + z * -2) = 9(z + 1) -6 + 18z + (-18 + -2z) = 9(z + 1) Reorder the terms: -6 + -18 + 18z + -2z = 9(z + 1) Combine like terms: -6 + -18 = -24 -24 + 18z + -2z = 9(z + 1) Combine like terms: 18z + -2z = 16z -24 + 16z = 9(z + 1) Reorder the terms: -24 + 16z = 9(1 + z) -24 + 16z = (1 * 9 + z * 9) -24 + 16z = (9 + 9z) Solving -24 + 16z = 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. -24 + 16z + -9z = 9 + 9z + -9z Combine like terms: 16z + -9z = 7z -24 + 7z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -24 + 7z = 9 + 0 -24 + 7z = 9 Add '24' to each side of the equation. -24 + 24 + 7z = 9 + 24 Combine like terms: -24 + 24 = 0 0 + 7z = 9 + 24 7z = 9 + 24 Combine like terms: 9 + 24 = 33 7z = 33 Divide each side by '7'. z = 4.714285714 Simplifying z = 4.714285714
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