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Simplifying -20 + -1(w + -4) = 3w Reorder the terms: -20 + -1(-4 + w) = 3w -20 + (-4 * -1 + w * -1) = 3w -20 + (4 + -1w) = 3w Combine like terms: -20 + 4 = -16 -16 + -1w = 3w Solving -16 + -1w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -16 + -1w + -3w = 3w + -3w Combine like terms: -1w + -3w = -4w -16 + -4w = 3w + -3w Combine like terms: 3w + -3w = 0 -16 + -4w = 0 Add '16' to each side of the equation. -16 + 16 + -4w = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -4w = 0 + 16 -4w = 0 + 16 Combine like terms: 0 + 16 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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