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Simplifying -5(w + -6) + 9W + 3 = 0 Reorder the terms: -5(-6 + w) + 9W + 3 = 0 (-6 * -5 + w * -5) + 9W + 3 = 0 (30 + -5w) + 9W + 3 = 0 Reorder the terms: 30 + 3 + 9W + -5w = 0 Combine like terms: 30 + 3 = 33 33 + 9W + -5w = 0 Solving 33 + 9W + -5w = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + 9W + -33 + -5w = 0 + -33 Reorder the terms: 33 + -33 + 9W + -5w = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 9W + -5w = 0 + -33 9W + -5w = 0 + -33 Combine like terms: 0 + -33 = -33 9W + -5w = -33 Add '5w' to each side of the equation. 9W + -5w + 5w = -33 + 5w Combine like terms: -5w + 5w = 0 9W + 0 = -33 + 5w 9W = -33 + 5w Divide each side by '9'. W = -3.666666667 + 0.5555555556w Simplifying W = -3.666666667 + 0.5555555556w
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