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Simplifying 3(6z + -1) + -2(z + 3) = 9(z + 1) Reorder the terms: 3(-1 + 6z) + -2(z + 3) = 9(z + 1) (-1 * 3 + 6z * 3) + -2(z + 3) = 9(z + 1) (-3 + 18z) + -2(z + 3) = 9(z + 1) Reorder the terms: -3 + 18z + -2(3 + z) = 9(z + 1) -3 + 18z + (3 * -2 + z * -2) = 9(z + 1) -3 + 18z + (-6 + -2z) = 9(z + 1) Reorder the terms: -3 + -6 + 18z + -2z = 9(z + 1) Combine like terms: -3 + -6 = -9 -9 + 18z + -2z = 9(z + 1) Combine like terms: 18z + -2z = 16z -9 + 16z = 9(z + 1) Reorder the terms: -9 + 16z = 9(1 + z) -9 + 16z = (1 * 9 + z * 9) -9 + 16z = (9 + 9z) Solving -9 + 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. -9 + 16z + -9z = 9 + 9z + -9z Combine like terms: 16z + -9z = 7z -9 + 7z = 9 + 9z + -9z Combine like terms: 9z + -9z = 0 -9 + 7z = 9 + 0 -9 + 7z = 9 Add '9' to each side of the equation. -9 + 9 + 7z = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 7z = 9 + 9 7z = 9 + 9 Combine like terms: 9 + 9 = 18 7z = 18 Divide each side by '7'. z = 2.571428571 Simplifying z = 2.571428571
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