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Simplifying 7(w + -4) = 4w + 11 Reorder the terms: 7(-4 + w) = 4w + 11 (-4 * 7 + w * 7) = 4w + 11 (-28 + 7w) = 4w + 11 Reorder the terms: -28 + 7w = 11 + 4w Solving -28 + 7w = 11 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -28 + 7w + -4w = 11 + 4w + -4w Combine like terms: 7w + -4w = 3w -28 + 3w = 11 + 4w + -4w Combine like terms: 4w + -4w = 0 -28 + 3w = 11 + 0 -28 + 3w = 11 Add '28' to each side of the equation. -28 + 28 + 3w = 11 + 28 Combine like terms: -28 + 28 = 0 0 + 3w = 11 + 28 3w = 11 + 28 Combine like terms: 11 + 28 = 39 3w = 39 Divide each side by '3'. w = 13 Simplifying w = 13
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