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Simplifying 3(w + -4) = -1(w + 4) Reorder the terms: 3(-4 + w) = -1(w + 4) (-4 * 3 + w * 3) = -1(w + 4) (-12 + 3w) = -1(w + 4) Reorder the terms: -12 + 3w = -1(4 + w) -12 + 3w = (4 * -1 + w * -1) -12 + 3w = (-4 + -1w) Solving -12 + 3w = -4 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -12 + 3w + w = -4 + -1w + w Combine like terms: 3w + w = 4w -12 + 4w = -4 + -1w + w Combine like terms: -1w + w = 0 -12 + 4w = -4 + 0 -12 + 4w = -4 Add '12' to each side of the equation. -12 + 12 + 4w = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = -4 + 12 4w = -4 + 12 Combine like terms: -4 + 12 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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