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Simplifying -18 = 4(w + -4) + -2w Reorder the terms: -18 = 4(-4 + w) + -2w -18 = (-4 * 4 + w * 4) + -2w -18 = (-16 + 4w) + -2w Combine like terms: 4w + -2w = 2w -18 = -16 + 2w Solving -18 = -16 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -18 + -2w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -18 + -2w = -16 + 0 -18 + -2w = -16 Add '18' to each side of the equation. -18 + 18 + -2w = -16 + 18 Combine like terms: -18 + 18 = 0 0 + -2w = -16 + 18 -2w = -16 + 18 Combine like terms: -16 + 18 = 2 -2w = 2 Divide each side by '-2'. w = -1 Simplifying w = -1
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