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Simplifying -5w + 8 = -3(w + 2) Reorder the terms: 8 + -5w = -3(w + 2) Reorder the terms: 8 + -5w = -3(2 + w) 8 + -5w = (2 * -3 + w * -3) 8 + -5w = (-6 + -3w) Solving 8 + -5w = -6 + -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. 8 + -5w + 3w = -6 + -3w + 3w Combine like terms: -5w + 3w = -2w 8 + -2w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 8 + -2w = -6 + 0 8 + -2w = -6 Add '-8' to each side of the equation. 8 + -8 + -2w = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -2w = -6 + -8 -2w = -6 + -8 Combine like terms: -6 + -8 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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