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Simplifying 5w + 3w + 4x + 5x + 10 + 5 = c Reorder the terms: 10 + 5 + 5w + 3w + 4x + 5x = c Combine like terms: 10 + 5 = 15 15 + 5w + 3w + 4x + 5x = c Combine like terms: 5w + 3w = 8w 15 + 8w + 4x + 5x = c Combine like terms: 4x + 5x = 9x 15 + 8w + 9x = c Solving 15 + 8w + 9x = c Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 8w + -15 + 9x = -15 + c Reorder the terms: 15 + -15 + 8w + 9x = -15 + c Combine like terms: 15 + -15 = 0 0 + 8w + 9x = -15 + c 8w + 9x = -15 + c Add '-9x' to each side of the equation. 8w + 9x + -9x = -15 + c + -9x Combine like terms: 9x + -9x = 0 8w + 0 = -15 + c + -9x 8w = -15 + c + -9x Divide each side by '8'. w = -1.875 + 0.125c + -1.125x Simplifying w = -1.875 + 0.125c + -1.125x
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