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Simplifying 7(w + -4) + -3w = w + 8 Reorder the terms: 7(-4 + w) + -3w = w + 8 (-4 * 7 + w * 7) + -3w = w + 8 (-28 + 7w) + -3w = w + 8 Combine like terms: 7w + -3w = 4w -28 + 4w = w + 8 Reorder the terms: -28 + 4w = 8 + w Solving -28 + 4w = 8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -28 + 4w + -1w = 8 + w + -1w Combine like terms: 4w + -1w = 3w -28 + 3w = 8 + w + -1w Combine like terms: w + -1w = 0 -28 + 3w = 8 + 0 -28 + 3w = 8 Add '28' to each side of the equation. -28 + 28 + 3w = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 3w = 8 + 28 3w = 8 + 28 Combine like terms: 8 + 28 = 36 3w = 36 Divide each side by '3'. w = 12 Simplifying w = 12
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