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Simplifying 4(w + 7) = 3w + -8 Reorder the terms: 4(7 + w) = 3w + -8 (7 * 4 + w * 4) = 3w + -8 (28 + 4w) = 3w + -8 Reorder the terms: 28 + 4w = -8 + 3w Solving 28 + 4w = -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 + 4w + -3w = -8 + 3w + -3w Combine like terms: 4w + -3w = 1w 28 + 1w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 28 + 1w = -8 + 0 28 + 1w = -8 Add '-28' to each side of the equation. 28 + -28 + 1w = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 1w = -8 + -28 1w = -8 + -28 Combine like terms: -8 + -28 = -36 1w = -36 Divide each side by '1'. w = -36 Simplifying w = -36
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