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Simplifying 6w + 4 = 2 + -5(3w + -1) Reorder the terms: 4 + 6w = 2 + -5(3w + -1) Reorder the terms: 4 + 6w = 2 + -5(-1 + 3w) 4 + 6w = 2 + (-1 * -5 + 3w * -5) 4 + 6w = 2 + (5 + -15w) Combine like terms: 2 + 5 = 7 4 + 6w = 7 + -15w Solving 4 + 6w = 7 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 4 + 6w + 15w = 7 + -15w + 15w Combine like terms: 6w + 15w = 21w 4 + 21w = 7 + -15w + 15w Combine like terms: -15w + 15w = 0 4 + 21w = 7 + 0 4 + 21w = 7 Add '-4' to each side of the equation. 4 + -4 + 21w = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 21w = 7 + -4 21w = 7 + -4 Combine like terms: 7 + -4 = 3 21w = 3 Divide each side by '21'. w = 0.1428571429 Simplifying w = 0.1428571429
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