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