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Simplifying -9 + -1(9z + -6) = 3(4x + 6) Reorder the terms: -9 + -1(-6 + 9z) = 3(4x + 6) -9 + (-6 * -1 + 9z * -1) = 3(4x + 6) -9 + (6 + -9z) = 3(4x + 6) Combine like terms: -9 + 6 = -3 -3 + -9z = 3(4x + 6) Reorder the terms: -3 + -9z = 3(6 + 4x) -3 + -9z = (6 * 3 + 4x * 3) -3 + -9z = (18 + 12x) Solving -3 + -9z = 18 + 12x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -9z = 18 + 3 + 12x Combine like terms: -3 + 3 = 0 0 + -9z = 18 + 3 + 12x -9z = 18 + 3 + 12x Combine like terms: 18 + 3 = 21 -9z = 21 + 12x Divide each side by '-9'. z = -2.333333333 + -1.333333333x Simplifying z = -2.333333333 + -1.333333333x
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