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Simplifying -2(w + 1) = 2w + -2 + 2(6w + 3) Reorder the terms: -2(1 + w) = 2w + -2 + 2(6w + 3) (1 * -2 + w * -2) = 2w + -2 + 2(6w + 3) (-2 + -2w) = 2w + -2 + 2(6w + 3) Reorder the terms: -2 + -2w = 2w + -2 + 2(3 + 6w) -2 + -2w = 2w + -2 + (3 * 2 + 6w * 2) -2 + -2w = 2w + -2 + (6 + 12w) Reorder the terms: -2 + -2w = -2 + 6 + 2w + 12w Combine like terms: -2 + 6 = 4 -2 + -2w = 4 + 2w + 12w Combine like terms: 2w + 12w = 14w -2 + -2w = 4 + 14w Solving -2 + -2w = 4 + 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. -2 + -2w + -14w = 4 + 14w + -14w Combine like terms: -2w + -14w = -16w -2 + -16w = 4 + 14w + -14w Combine like terms: 14w + -14w = 0 -2 + -16w = 4 + 0 -2 + -16w = 4 Add '2' to each side of the equation. -2 + 2 + -16w = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -16w = 4 + 2 -16w = 4 + 2 Combine like terms: 4 + 2 = 6 -16w = 6 Divide each side by '-16'. w = -0.375 Simplifying w = -0.375
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