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Simplifying 4 + 6w = 3(5 + -1w) + 2 4 + 6w = (5 * 3 + -1w * 3) + 2 4 + 6w = (15 + -3w) + 2 Reorder the terms: 4 + 6w = 15 + 2 + -3w Combine like terms: 15 + 2 = 17 4 + 6w = 17 + -3w Solving 4 + 6w = 17 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 4 + 6w + 3w = 17 + -3w + 3w Combine like terms: 6w + 3w = 9w 4 + 9w = 17 + -3w + 3w Combine like terms: -3w + 3w = 0 4 + 9w = 17 + 0 4 + 9w = 17 Add '-4' to each side of the equation. 4 + -4 + 9w = 17 + -4 Combine like terms: 4 + -4 = 0 0 + 9w = 17 + -4 9w = 17 + -4 Combine like terms: 17 + -4 = 13 9w = 13 Divide each side by '9'. w = 1.444444444 Simplifying w = 1.444444444
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