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Simplifying 3w + -9 = 5w + 1 + 8w + 4 Reorder the terms: -9 + 3w = 5w + 1 + 8w + 4 Reorder the terms: -9 + 3w = 1 + 4 + 5w + 8w Combine like terms: 1 + 4 = 5 -9 + 3w = 5 + 5w + 8w Combine like terms: 5w + 8w = 13w -9 + 3w = 5 + 13w Solving -9 + 3w = 5 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -9 + 3w + -13w = 5 + 13w + -13w Combine like terms: 3w + -13w = -10w -9 + -10w = 5 + 13w + -13w Combine like terms: 13w + -13w = 0 -9 + -10w = 5 + 0 -9 + -10w = 5 Add '9' to each side of the equation. -9 + 9 + -10w = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -10w = 5 + 9 -10w = 5 + 9 Combine like terms: 5 + 9 = 14 -10w = 14 Divide each side by '-10'. w = -1.4 Simplifying w = -1.4
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