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Simplifying 5(w + -6) + -6 = -6(-3w + 3) + -3w Reorder the terms: 5(-6 + w) + -6 = -6(-3w + 3) + -3w (-6 * 5 + w * 5) + -6 = -6(-3w + 3) + -3w (-30 + 5w) + -6 = -6(-3w + 3) + -3w Reorder the terms: -30 + -6 + 5w = -6(-3w + 3) + -3w Combine like terms: -30 + -6 = -36 -36 + 5w = -6(-3w + 3) + -3w Reorder the terms: -36 + 5w = -6(3 + -3w) + -3w -36 + 5w = (3 * -6 + -3w * -6) + -3w -36 + 5w = (-18 + 18w) + -3w Combine like terms: 18w + -3w = 15w -36 + 5w = -18 + 15w Solving -36 + 5w = -18 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -36 + 5w + -15w = -18 + 15w + -15w Combine like terms: 5w + -15w = -10w -36 + -10w = -18 + 15w + -15w Combine like terms: 15w + -15w = 0 -36 + -10w = -18 + 0 -36 + -10w = -18 Add '36' to each side of the equation. -36 + 36 + -10w = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -10w = -18 + 36 -10w = -18 + 36 Combine like terms: -18 + 36 = 18 -10w = 18 Divide each side by '-10'. w = -1.8 Simplifying w = -1.8
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