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Simplifying 4(7 + w) = 3(w + -7) (7 * 4 + w * 4) = 3(w + -7) (28 + 4w) = 3(w + -7) Reorder the terms: 28 + 4w = 3(-7 + w) 28 + 4w = (-7 * 3 + w * 3) 28 + 4w = (-21 + 3w) Solving 28 + 4w = -21 + 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 + 4w + -3w = -21 + 3w + -3w Combine like terms: 4w + -3w = 1w 28 + 1w = -21 + 3w + -3w Combine like terms: 3w + -3w = 0 28 + 1w = -21 + 0 28 + 1w = -21 Add '-28' to each side of the equation. 28 + -28 + 1w = -21 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = -21 + -28 1w = -21 + -28 Combine like terms: -21 + -28 = -49 1w = -49 Divide each side by '1'. w = -49 Simplifying w = -49
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