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Simplifying -2(2w + -1) + 2w = 5 + 7(2w + -1) Reorder the terms: -2(-1 + 2w) + 2w = 5 + 7(2w + -1) (-1 * -2 + 2w * -2) + 2w = 5 + 7(2w + -1) (2 + -4w) + 2w = 5 + 7(2w + -1) Combine like terms: -4w + 2w = -2w 2 + -2w = 5 + 7(2w + -1) Reorder the terms: 2 + -2w = 5 + 7(-1 + 2w) 2 + -2w = 5 + (-1 * 7 + 2w * 7) 2 + -2w = 5 + (-7 + 14w) Combine like terms: 5 + -7 = -2 2 + -2w = -2 + 14w Solving 2 + -2w = -2 + 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 = -2 + 14w + -14w Combine like terms: -2w + -14w = -16w 2 + -16w = -2 + 14w + -14w Combine like terms: 14w + -14w = 0 2 + -16w = -2 + 0 2 + -16w = -2 Add '-2' to each side of the equation. 2 + -2 + -16w = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -16w = -2 + -2 -16w = -2 + -2 Combine like terms: -2 + -2 = -4 -16w = -4 Divide each side by '-16'. w = 0.25 Simplifying w = 0.25
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