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Simplifying 6w + -35 + -5(3 + -2w) = w 6w + -35 + (3 * -5 + -2w * -5) = w 6w + -35 + (-15 + 10w) = w Reorder the terms: -35 + -15 + 6w + 10w = w Combine like terms: -35 + -15 = -50 -50 + 6w + 10w = w Combine like terms: 6w + 10w = 16w -50 + 16w = w Solving -50 + 16w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -50 + 16w + -1w = w + -1w Combine like terms: 16w + -1w = 15w -50 + 15w = w + -1w Combine like terms: w + -1w = 0 -50 + 15w = 0 Add '50' to each side of the equation. -50 + 50 + 15w = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 15w = 0 + 50 15w = 0 + 50 Combine like terms: 0 + 50 = 50 15w = 50 Divide each side by '15'. w = 3.333333333 Simplifying w = 3.333333333
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