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Simplifying 4(w + -7) = w + -4 Reorder the terms: 4(-7 + w) = w + -4 (-7 * 4 + w * 4) = w + -4 (-28 + 4w) = w + -4 Reorder the terms: -28 + 4w = -4 + w Solving -28 + 4w = -4 + 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 = -4 + w + -1w Combine like terms: 4w + -1w = 3w -28 + 3w = -4 + w + -1w Combine like terms: w + -1w = 0 -28 + 3w = -4 + 0 -28 + 3w = -4 Add '28' to each side of the equation. -28 + 28 + 3w = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 3w = -4 + 28 3w = -4 + 28 Combine like terms: -4 + 28 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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