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Simplifying 15w + -9 = 2w + 5 Reorder the terms: -9 + 15w = 2w + 5 Reorder the terms: -9 + 15w = 5 + 2w Solving -9 + 15w = 5 + 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. -9 + 15w + -2w = 5 + 2w + -2w Combine like terms: 15w + -2w = 13w -9 + 13w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -9 + 13w = 5 + 0 -9 + 13w = 5 Add '9' to each side of the equation. -9 + 9 + 13w = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 13w = 5 + 9 13w = 5 + 9 Combine like terms: 5 + 9 = 14 13w = 14 Divide each side by '13'. w = 1.076923077 Simplifying w = 1.076923077
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