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Simplifying 3(w + -4) = 5w + -2 Reorder the terms: 3(-4 + w) = 5w + -2 (-4 * 3 + w * 3) = 5w + -2 (-12 + 3w) = 5w + -2 Reorder the terms: -12 + 3w = -2 + 5w Solving -12 + 3w = -2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -12 + 3w + -5w = -2 + 5w + -5w Combine like terms: 3w + -5w = -2w -12 + -2w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 -12 + -2w = -2 + 0 -12 + -2w = -2 Add '12' to each side of the equation. -12 + 12 + -2w = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = -2 + 12 -2w = -2 + 12 Combine like terms: -2 + 12 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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