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Simplifying 14w + -18 = 16w + -40 Reorder the terms: -18 + 14w = 16w + -40 Reorder the terms: -18 + 14w = -40 + 16w Solving -18 + 14w = -40 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. -18 + 14w + -16w = -40 + 16w + -16w Combine like terms: 14w + -16w = -2w -18 + -2w = -40 + 16w + -16w Combine like terms: 16w + -16w = 0 -18 + -2w = -40 + 0 -18 + -2w = -40 Add '18' to each side of the equation. -18 + 18 + -2w = -40 + 18 Combine like terms: -18 + 18 = 0 0 + -2w = -40 + 18 -2w = -40 + 18 Combine like terms: -40 + 18 = -22 -2w = -22 Divide each side by '-2'. w = 11 Simplifying w = 11
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