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