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Simplifying 7(w + -4) = 3w + -8 Reorder the terms: 7(-4 + w) = 3w + -8 (-4 * 7 + w * 7) = 3w + -8 (-28 + 7w) = 3w + -8 Reorder the terms: -28 + 7w = -8 + 3w Solving -28 + 7w = -8 + 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. -28 + 7w + -3w = -8 + 3w + -3w Combine like terms: 7w + -3w = 4w -28 + 4w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 -28 + 4w = -8 + 0 -28 + 4w = -8 Add '28' to each side of the equation. -28 + 28 + 4w = -8 + 28 Combine like terms: -28 + 28 = 0 0 + 4w = -8 + 28 4w = -8 + 28 Combine like terms: -8 + 28 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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