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Simplifying 3w + -28 = 5(w + -4) Reorder the terms: -28 + 3w = 5(w + -4) Reorder the terms: -28 + 3w = 5(-4 + w) -28 + 3w = (-4 * 5 + w * 5) -28 + 3w = (-20 + 5w) Solving -28 + 3w = -20 + 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. -28 + 3w + -5w = -20 + 5w + -5w Combine like terms: 3w + -5w = -2w -28 + -2w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 -28 + -2w = -20 + 0 -28 + -2w = -20 Add '28' to each side of the equation. -28 + 28 + -2w = -20 + 28 Combine like terms: -28 + 28 = 0 0 + -2w = -20 + 28 -2w = -20 + 28 Combine like terms: -20 + 28 = 8 -2w = 8 Divide each side by '-2'. w = -4 Simplifying w = -4
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