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Simplifying 49 = -4(-13 + w) + w 49 = (-13 * -4 + w * -4) + w 49 = (52 + -4w) + w Combine like terms: -4w + w = -3w 49 = 52 + -3w Solving 49 = 52 + -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. 49 + 3w = 52 + -3w + 3w Combine like terms: -3w + 3w = 0 49 + 3w = 52 + 0 49 + 3w = 52 Add '-49' to each side of the equation. 49 + -49 + 3w = 52 + -49 Combine like terms: 49 + -49 = 0 0 + 3w = 52 + -49 3w = 52 + -49 Combine like terms: 52 + -49 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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