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Simplifying -6(-3w + 6) + -2w = 6(w + -3) + -6 Reorder the terms: -6(6 + -3w) + -2w = 6(w + -3) + -6 (6 * -6 + -3w * -6) + -2w = 6(w + -3) + -6 (-36 + 18w) + -2w = 6(w + -3) + -6 Combine like terms: 18w + -2w = 16w -36 + 16w = 6(w + -3) + -6 Reorder the terms: -36 + 16w = 6(-3 + w) + -6 -36 + 16w = (-3 * 6 + w * 6) + -6 -36 + 16w = (-18 + 6w) + -6 Reorder the terms: -36 + 16w = -18 + -6 + 6w Combine like terms: -18 + -6 = -24 -36 + 16w = -24 + 6w Solving -36 + 16w = -24 + 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. -36 + 16w + -6w = -24 + 6w + -6w Combine like terms: 16w + -6w = 10w -36 + 10w = -24 + 6w + -6w Combine like terms: 6w + -6w = 0 -36 + 10w = -24 + 0 -36 + 10w = -24 Add '36' to each side of the equation. -36 + 36 + 10w = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 10w = -24 + 36 10w = -24 + 36 Combine like terms: -24 + 36 = 12 10w = 12 Divide each side by '10'. w = 1.2 Simplifying w = 1.2
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