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Simplifying -9w + 18 = 4(w + -2) Reorder the terms: 18 + -9w = 4(w + -2) Reorder the terms: 18 + -9w = 4(-2 + w) 18 + -9w = (-2 * 4 + w * 4) 18 + -9w = (-8 + 4w) Solving 18 + -9w = -8 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 18 + -9w + -4w = -8 + 4w + -4w Combine like terms: -9w + -4w = -13w 18 + -13w = -8 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + -13w = -8 + 0 18 + -13w = -8 Add '-18' to each side of the equation. 18 + -18 + -13w = -8 + -18 Combine like terms: 18 + -18 = 0 0 + -13w = -8 + -18 -13w = -8 + -18 Combine like terms: -8 + -18 = -26 -13w = -26 Divide each side by '-13'. w = 2 Simplifying w = 2
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