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Simplifying 3w + -5 = 5w + -15 Reorder the terms: -5 + 3w = 5w + -15 Reorder the terms: -5 + 3w = -15 + 5w Solving -5 + 3w = -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. -5 + 3w + -5w = -15 + 5w + -5w Combine like terms: 3w + -5w = -2w -5 + -2w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 -5 + -2w = -15 + 0 -5 + -2w = -15 Add '5' to each side of the equation. -5 + 5 + -2w = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -2w = -15 + 5 -2w = -15 + 5 Combine like terms: -15 + 5 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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