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Simplifying 5w + -13 = 7w + 15 Reorder the terms: -13 + 5w = 7w + 15 Reorder the terms: -13 + 5w = 15 + 7w Solving -13 + 5w = 15 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -13 + 5w + -7w = 15 + 7w + -7w Combine like terms: 5w + -7w = -2w -13 + -2w = 15 + 7w + -7w Combine like terms: 7w + -7w = 0 -13 + -2w = 15 + 0 -13 + -2w = 15 Add '13' to each side of the equation. -13 + 13 + -2w = 15 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = 15 + 13 -2w = 15 + 13 Combine like terms: 15 + 13 = 28 -2w = 28 Divide each side by '-2'. w = -14 Simplifying w = -14
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