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Simplifying 4(4 + -1w) = 3(2w) + 2 (4 * 4 + -1w * 4) = 3(2w) + 2 (16 + -4w) = 3(2w) + 2 Remove parenthesis around (2w) 16 + -4w = 3 * 2w + 2 Multiply 3 * 2 16 + -4w = 6w + 2 Reorder the terms: 16 + -4w = 2 + 6w Solving 16 + -4w = 2 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 16 + -4w + -6w = 2 + 6w + -6w Combine like terms: -4w + -6w = -10w 16 + -10w = 2 + 6w + -6w Combine like terms: 6w + -6w = 0 16 + -10w = 2 + 0 16 + -10w = 2 Add '-16' to each side of the equation. 16 + -16 + -10w = 2 + -16 Combine like terms: 16 + -16 = 0 0 + -10w = 2 + -16 -10w = 2 + -16 Combine like terms: 2 + -16 = -14 -10w = -14 Divide each side by '-10'. w = 1.4 Simplifying w = 1.4
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