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Simplifying 5 + 4(w + 2) = (w + 7) + 1 Reorder the terms: 5 + 4(2 + w) = (w + 7) + 1 5 + (2 * 4 + w * 4) = (w + 7) + 1 5 + (8 + 4w) = (w + 7) + 1 Combine like terms: 5 + 8 = 13 13 + 4w = (w + 7) + 1 Reorder the terms: 13 + 4w = (7 + w) + 1 Remove parenthesis around (7 + w) 13 + 4w = 7 + w + 1 Reorder the terms: 13 + 4w = 7 + 1 + w Combine like terms: 7 + 1 = 8 13 + 4w = 8 + w Solving 13 + 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. 13 + 4w + -1w = 8 + w + -1w Combine like terms: 4w + -1w = 3w 13 + 3w = 8 + w + -1w Combine like terms: w + -1w = 0 13 + 3w = 8 + 0 13 + 3w = 8 Add '-13' to each side of the equation. 13 + -13 + 3w = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 3w = 8 + -13 3w = 8 + -13 Combine like terms: 8 + -13 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667
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