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Simplifying 4(w + 2) = 7(w + -1) Reorder the terms: 4(2 + w) = 7(w + -1) (2 * 4 + w * 4) = 7(w + -1) (8 + 4w) = 7(w + -1) Reorder the terms: 8 + 4w = 7(-1 + w) 8 + 4w = (-1 * 7 + w * 7) 8 + 4w = (-7 + 7w) Solving 8 + 4w = -7 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 8 + 4w + -7w = -7 + 7w + -7w Combine like terms: 4w + -7w = -3w 8 + -3w = -7 + 7w + -7w Combine like terms: 7w + -7w = 0 8 + -3w = -7 + 0 8 + -3w = -7 Add '-8' to each side of the equation. 8 + -8 + -3w = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = -7 + -8 -3w = -7 + -8 Combine like terms: -7 + -8 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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