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Simplifying -2(w + 4) = 8w + -2 + 2(3w + 4) Reorder the terms: -2(4 + w) = 8w + -2 + 2(3w + 4) (4 * -2 + w * -2) = 8w + -2 + 2(3w + 4) (-8 + -2w) = 8w + -2 + 2(3w + 4) Reorder the terms: -8 + -2w = 8w + -2 + 2(4 + 3w) -8 + -2w = 8w + -2 + (4 * 2 + 3w * 2) -8 + -2w = 8w + -2 + (8 + 6w) Reorder the terms: -8 + -2w = -2 + 8 + 8w + 6w Combine like terms: -2 + 8 = 6 -8 + -2w = 6 + 8w + 6w Combine like terms: 8w + 6w = 14w -8 + -2w = 6 + 14w Solving -8 + -2w = 6 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -8 + -2w + -14w = 6 + 14w + -14w Combine like terms: -2w + -14w = -16w -8 + -16w = 6 + 14w + -14w Combine like terms: 14w + -14w = 0 -8 + -16w = 6 + 0 -8 + -16w = 6 Add '8' to each side of the equation. -8 + 8 + -16w = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -16w = 6 + 8 -16w = 6 + 8 Combine like terms: 6 + 8 = 14 -16w = 14 Divide each side by '-16'. w = -0.875 Simplifying w = -0.875
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