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