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Simplifying 16w + 13 + w = 2w + 43 Reorder the terms: 13 + 16w + w = 2w + 43 Combine like terms: 16w + w = 17w 13 + 17w = 2w + 43 Reorder the terms: 13 + 17w = 43 + 2w Solving 13 + 17w = 43 + 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. 13 + 17w + -2w = 43 + 2w + -2w Combine like terms: 17w + -2w = 15w 13 + 15w = 43 + 2w + -2w Combine like terms: 2w + -2w = 0 13 + 15w = 43 + 0 13 + 15w = 43 Add '-13' to each side of the equation. 13 + -13 + 15w = 43 + -13 Combine like terms: 13 + -13 = 0 0 + 15w = 43 + -13 15w = 43 + -13 Combine like terms: 43 + -13 = 30 15w = 30 Divide each side by '15'. w = 2 Simplifying w = 2
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