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Simplifying -2(8w + -8) + 6w = 2(w + 4) Reorder the terms: -2(-8 + 8w) + 6w = 2(w + 4) (-8 * -2 + 8w * -2) + 6w = 2(w + 4) (16 + -16w) + 6w = 2(w + 4) Combine like terms: -16w + 6w = -10w 16 + -10w = 2(w + 4) Reorder the terms: 16 + -10w = 2(4 + w) 16 + -10w = (4 * 2 + w * 2) 16 + -10w = (8 + 2w) Solving 16 + -10w = 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. 16 + -10w + -2w = 8 + 2w + -2w Combine like terms: -10w + -2w = -12w 16 + -12w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 16 + -12w = 8 + 0 16 + -12w = 8 Add '-16' to each side of the equation. 16 + -16 + -12w = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -12w = 8 + -16 -12w = 8 + -16 Combine like terms: 8 + -16 = -8 -12w = -8 Divide each side by '-12'. w = 0.6666666667 Simplifying w = 0.6666666667
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