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Simplifying -6z + 18 = 7 + -1(4x + 9) Reorder the terms: 18 + -6z = 7 + -1(4x + 9) Reorder the terms: 18 + -6z = 7 + -1(9 + 4x) 18 + -6z = 7 + (9 * -1 + 4x * -1) 18 + -6z = 7 + (-9 + -4x) Combine like terms: 7 + -9 = -2 18 + -6z = -2 + -4x Solving 18 + -6z = -2 + -4x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -6z = -2 + -18 + -4x Combine like terms: 18 + -18 = 0 0 + -6z = -2 + -18 + -4x -6z = -2 + -18 + -4x Combine like terms: -2 + -18 = -20 -6z = -20 + -4x Divide each side by '-6'. z = 3.333333333 + 0.6666666667x Simplifying z = 3.333333333 + 0.6666666667x
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