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Simplifying 45 = 18.6w + -5.3w + 9 + -3.3w Reorder the terms: 45 = 9 + 18.6w + -5.3w + -3.3w Combine like terms: 18.6w + -5.3w = 13.3w 45 = 9 + 13.3w + -3.3w Combine like terms: 13.3w + -3.3w = 10w 45 = 9 + 10w Solving 45 = 9 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 45 + -10w = 9 + 10w + -10w Combine like terms: 10w + -10w = 0 45 + -10w = 9 + 0 45 + -10w = 9 Add '-45' to each side of the equation. 45 + -45 + -10w = 9 + -45 Combine like terms: 45 + -45 = 0 0 + -10w = 9 + -45 -10w = 9 + -45 Combine like terms: 9 + -45 = -36 -10w = -36 Divide each side by '-10'. w = 3.6 Simplifying w = 3.6
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