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Simplifying 1 + 2(w + 6) = 5(w + -1) Reorder the terms: 1 + 2(6 + w) = 5(w + -1) 1 + (6 * 2 + w * 2) = 5(w + -1) 1 + (12 + 2w) = 5(w + -1) Combine like terms: 1 + 12 = 13 13 + 2w = 5(w + -1) Reorder the terms: 13 + 2w = 5(-1 + w) 13 + 2w = (-1 * 5 + w * 5) 13 + 2w = (-5 + 5w) Solving 13 + 2w = -5 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 13 + 2w + -5w = -5 + 5w + -5w Combine like terms: 2w + -5w = -3w 13 + -3w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 13 + -3w = -5 + 0 13 + -3w = -5 Add '-13' to each side of the equation. 13 + -13 + -3w = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3w = -5 + -13 -3w = -5 + -13 Combine like terms: -5 + -13 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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