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Simplifying -4.5w = 0.375(7 + -4w) -4.5w = (7 * 0.375 + -4w * 0.375) -4.5w = (2.625 + -1.5w) Solving -4.5w = 2.625 + -1.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.5w' to each side of the equation. -4.5w + 1.5w = 2.625 + -1.5w + 1.5w Combine like terms: -4.5w + 1.5w = -3w -3w = 2.625 + -1.5w + 1.5w Combine like terms: -1.5w + 1.5w = 0.0 -3w = 2.625 + 0.0 -3w = 2.625 Divide each side by '-3'. w = -0.875 Simplifying w = -0.875
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