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Simplifying -2w + -18 = 4(w + 9) Reorder the terms: -18 + -2w = 4(w + 9) Reorder the terms: -18 + -2w = 4(9 + w) -18 + -2w = (9 * 4 + w * 4) -18 + -2w = (36 + 4w) Solving -18 + -2w = 36 + 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 + -2w + -4w = 36 + 4w + -4w Combine like terms: -2w + -4w = -6w -18 + -6w = 36 + 4w + -4w Combine like terms: 4w + -4w = 0 -18 + -6w = 36 + 0 -18 + -6w = 36 Add '18' to each side of the equation. -18 + 18 + -6w = 36 + 18 Combine like terms: -18 + 18 = 0 0 + -6w = 36 + 18 -6w = 36 + 18 Combine like terms: 36 + 18 = 54 -6w = 54 Divide each side by '-6'. w = -9 Simplifying w = -9
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