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Simplifying -2(w + 7) = 2w + -4 + 4(3w + 1) Reorder the terms: -2(7 + w) = 2w + -4 + 4(3w + 1) (7 * -2 + w * -2) = 2w + -4 + 4(3w + 1) (-14 + -2w) = 2w + -4 + 4(3w + 1) Reorder the terms: -14 + -2w = 2w + -4 + 4(1 + 3w) -14 + -2w = 2w + -4 + (1 * 4 + 3w * 4) -14 + -2w = 2w + -4 + (4 + 12w) Reorder the terms: -14 + -2w = -4 + 4 + 2w + 12w Combine like terms: -4 + 4 = 0 -14 + -2w = 0 + 2w + 12w -14 + -2w = 2w + 12w Combine like terms: 2w + 12w = 14w -14 + -2w = 14w Solving -14 + -2w = 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. -14 + -2w + -14w = 14w + -14w Combine like terms: -2w + -14w = -16w -14 + -16w = 14w + -14w Combine like terms: 14w + -14w = 0 -14 + -16w = 0 Add '14' to each side of the equation. -14 + 14 + -16w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -16w = 0 + 14 -16w = 0 + 14 Combine like terms: 0 + 14 = 14 -16w = 14 Divide each side by '-16'. w = -0.875 Simplifying w = -0.875
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