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Simplifying w + 6 + -2(-8w + -2) = 2(w + -4) Reorder the terms: w + 6 + -2(-2 + -8w) = 2(w + -4) w + 6 + (-2 * -2 + -8w * -2) = 2(w + -4) w + 6 + (4 + 16w) = 2(w + -4) Reorder the terms: 6 + 4 + w + 16w = 2(w + -4) Combine like terms: 6 + 4 = 10 10 + w + 16w = 2(w + -4) Combine like terms: w + 16w = 17w 10 + 17w = 2(w + -4) Reorder the terms: 10 + 17w = 2(-4 + w) 10 + 17w = (-4 * 2 + w * 2) 10 + 17w = (-8 + 2w) Solving 10 + 17w = -8 + 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. 10 + 17w + -2w = -8 + 2w + -2w Combine like terms: 17w + -2w = 15w 10 + 15w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + 15w = -8 + 0 10 + 15w = -8 Add '-10' to each side of the equation. 10 + -10 + 15w = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 15w = -8 + -10 15w = -8 + -10 Combine like terms: -8 + -10 = -18 15w = -18 Divide each side by '15'. w = -1.2 Simplifying w = -1.2
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