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Simplifying -5w + -8 = -2(w + 7) Reorder the terms: -8 + -5w = -2(w + 7) Reorder the terms: -8 + -5w = -2(7 + w) -8 + -5w = (7 * -2 + w * -2) -8 + -5w = (-14 + -2w) Solving -8 + -5w = -14 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -8 + -5w + 2w = -14 + -2w + 2w Combine like terms: -5w + 2w = -3w -8 + -3w = -14 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + -3w = -14 + 0 -8 + -3w = -14 Add '8' to each side of the equation. -8 + 8 + -3w = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = -14 + 8 -3w = -14 + 8 Combine like terms: -14 + 8 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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