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Simplifying 6w + 6 + -2(-6w + -4) = 2(w + -2) Reorder the terms: 6w + 6 + -2(-4 + -6w) = 2(w + -2) 6w + 6 + (-4 * -2 + -6w * -2) = 2(w + -2) 6w + 6 + (8 + 12w) = 2(w + -2) Reorder the terms: 6 + 8 + 6w + 12w = 2(w + -2) Combine like terms: 6 + 8 = 14 14 + 6w + 12w = 2(w + -2) Combine like terms: 6w + 12w = 18w 14 + 18w = 2(w + -2) Reorder the terms: 14 + 18w = 2(-2 + w) 14 + 18w = (-2 * 2 + w * 2) 14 + 18w = (-4 + 2w) Solving 14 + 18w = -4 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 14 + 18w + -2w = -4 + 2w + -2w Combine like terms: 18w + -2w = 16w 14 + 16w = -4 + 2w + -2w Combine like terms: 2w + -2w = 0 14 + 16w = -4 + 0 14 + 16w = -4 Add '-14' to each side of the equation. 14 + -14 + 16w = -4 + -14 Combine like terms: 14 + -14 = 0 0 + 16w = -4 + -14 16w = -4 + -14 Combine like terms: -4 + -14 = -18 16w = -18 Divide each side by '16'. w = -1.125 Simplifying w = -1.125
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