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Simplifying 3(w + -4) = 5(w + 6) Reorder the terms: 3(-4 + w) = 5(w + 6) (-4 * 3 + w * 3) = 5(w + 6) (-12 + 3w) = 5(w + 6) Reorder the terms: -12 + 3w = 5(6 + w) -12 + 3w = (6 * 5 + w * 5) -12 + 3w = (30 + 5w) Solving -12 + 3w = 30 + 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 = 30 + 5w + -5w Combine like terms: 3w + -5w = -2w -12 + -2w = 30 + 5w + -5w Combine like terms: 5w + -5w = 0 -12 + -2w = 30 + 0 -12 + -2w = 30 Add '12' to each side of the equation. -12 + 12 + -2w = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = 30 + 12 -2w = 30 + 12 Combine like terms: 30 + 12 = 42 -2w = 42 Divide each side by '-2'. w = -21 Simplifying w = -21
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