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Simplifying -6(-4w + 9) + -4w = 5(w + -9) + -6 Reorder the terms: -6(9 + -4w) + -4w = 5(w + -9) + -6 (9 * -6 + -4w * -6) + -4w = 5(w + -9) + -6 (-54 + 24w) + -4w = 5(w + -9) + -6 Combine like terms: 24w + -4w = 20w -54 + 20w = 5(w + -9) + -6 Reorder the terms: -54 + 20w = 5(-9 + w) + -6 -54 + 20w = (-9 * 5 + w * 5) + -6 -54 + 20w = (-45 + 5w) + -6 Reorder the terms: -54 + 20w = -45 + -6 + 5w Combine like terms: -45 + -6 = -51 -54 + 20w = -51 + 5w Solving -54 + 20w = -51 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -54 + 20w + -5w = -51 + 5w + -5w Combine like terms: 20w + -5w = 15w -54 + 15w = -51 + 5w + -5w Combine like terms: 5w + -5w = 0 -54 + 15w = -51 + 0 -54 + 15w = -51 Add '54' to each side of the equation. -54 + 54 + 15w = -51 + 54 Combine like terms: -54 + 54 = 0 0 + 15w = -51 + 54 15w = -51 + 54 Combine like terms: -51 + 54 = 3 15w = 3 Divide each side by '15'. w = 0.2 Simplifying w = 0.2
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