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Simplifying -1(14 + 14w) = 2(-15 + w) (14 * -1 + 14w * -1) = 2(-15 + w) (-14 + -14w) = 2(-15 + w) -14 + -14w = (-15 * 2 + w * 2) -14 + -14w = (-30 + 2w) Solving -14 + -14w = -30 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -14 + -14w + -2w = -30 + 2w + -2w Combine like terms: -14w + -2w = -16w -14 + -16w = -30 + 2w + -2w Combine like terms: 2w + -2w = 0 -14 + -16w = -30 + 0 -14 + -16w = -30 Add '14' to each side of the equation. -14 + 14 + -16w = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -16w = -30 + 14 -16w = -30 + 14 Combine like terms: -30 + 14 = -16 -16w = -16 Divide each side by '-16'. w = 1 Simplifying w = 1
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