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Simplifying 14.4 = (2w + -3) + (2w + -3) + 2w Reorder the terms: 14.4 = (-3 + 2w) + (2w + -3) + 2w Remove parenthesis around (-3 + 2w) 14.4 = -3 + 2w + (2w + -3) + 2w Reorder the terms: 14.4 = -3 + 2w + (-3 + 2w) + 2w Remove parenthesis around (-3 + 2w) 14.4 = -3 + 2w + -3 + 2w + 2w Reorder the terms: 14.4 = -3 + -3 + 2w + 2w + 2w Combine like terms: -3 + -3 = -6 14.4 = -6 + 2w + 2w + 2w Combine like terms: 2w + 2w = 4w 14.4 = -6 + 4w + 2w Combine like terms: 4w + 2w = 6w 14.4 = -6 + 6w Solving 14.4 = -6 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 14.4 + -6w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 14.4 + -6w = -6 + 0 14.4 + -6w = -6 Add '-14.4' to each side of the equation. 14.4 + -14.4 + -6w = -6 + -14.4 Combine like terms: 14.4 + -14.4 = 0.0 0.0 + -6w = -6 + -14.4 -6w = -6 + -14.4 Combine like terms: -6 + -14.4 = -20.4 -6w = -20.4 Divide each side by '-6'. w = 3.4 Simplifying w = 3.4
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