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Simplifying 5w + -2 = 3w + -15 Reorder the terms: -2 + 5w = 3w + -15 Reorder the terms: -2 + 5w = -15 + 3w Solving -2 + 5w = -15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -2 + 5w + -3w = -15 + 3w + -3w Combine like terms: 5w + -3w = 2w -2 + 2w = -15 + 3w + -3w Combine like terms: 3w + -3w = 0 -2 + 2w = -15 + 0 -2 + 2w = -15 Add '2' to each side of the equation. -2 + 2 + 2w = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 2w = -15 + 2 2w = -15 + 2 Combine like terms: -15 + 2 = -13 2w = -13 Divide each side by '2'. w = -6.5 Simplifying w = -6.5
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