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Simplifying (3w + 1) + -1(4w + -5) = 2 Reorder the terms: (1 + 3w) + -1(4w + -5) = 2 Remove parenthesis around (1 + 3w) 1 + 3w + -1(4w + -5) = 2 Reorder the terms: 1 + 3w + -1(-5 + 4w) = 2 1 + 3w + (-5 * -1 + 4w * -1) = 2 1 + 3w + (5 + -4w) = 2 Reorder the terms: 1 + 5 + 3w + -4w = 2 Combine like terms: 1 + 5 = 6 6 + 3w + -4w = 2 Combine like terms: 3w + -4w = -1w 6 + -1w = 2 Solving 6 + -1w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1w = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1w = 2 + -6 -1w = 2 + -6 Combine like terms: 2 + -6 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4
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