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Simplifying -2w + 8 = 5(w + 3) Reorder the terms: 8 + -2w = 5(w + 3) Reorder the terms: 8 + -2w = 5(3 + w) 8 + -2w = (3 * 5 + w * 5) 8 + -2w = (15 + 5w) Solving 8 + -2w = 15 + 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. 8 + -2w + -5w = 15 + 5w + -5w Combine like terms: -2w + -5w = -7w 8 + -7w = 15 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -7w = 15 + 0 8 + -7w = 15 Add '-8' to each side of the equation. 8 + -8 + -7w = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -7w = 15 + -8 -7w = 15 + -8 Combine like terms: 15 + -8 = 7 -7w = 7 Divide each side by '-7'. w = -1 Simplifying w = -1
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