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Simplifying 3w + -7 = -15 + 5w Reorder the terms: -7 + 3w = -15 + 5w Solving -7 + 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. -7 + 3w + -5w = -15 + 5w + -5w Combine like terms: 3w + -5w = -2w -7 + -2w = -15 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + -2w = -15 + 0 -7 + -2w = -15 Add '7' to each side of the equation. -7 + 7 + -2w = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = -15 + 7 -2w = -15 + 7 Combine like terms: -15 + 7 = -8 -2w = -8 Divide each side by '-2'. w = 4 Simplifying w = 4
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