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Simplifying 6w + -1(w + 6) = -2(5 + -3w) + 2 Reorder the terms: 6w + -1(6 + w) = -2(5 + -3w) + 2 6w + (6 * -1 + w * -1) = -2(5 + -3w) + 2 6w + (-6 + -1w) = -2(5 + -3w) + 2 Reorder the terms: -6 + 6w + -1w = -2(5 + -3w) + 2 Combine like terms: 6w + -1w = 5w -6 + 5w = -2(5 + -3w) + 2 -6 + 5w = (5 * -2 + -3w * -2) + 2 -6 + 5w = (-10 + 6w) + 2 Reorder the terms: -6 + 5w = -10 + 2 + 6w Combine like terms: -10 + 2 = -8 -6 + 5w = -8 + 6w Solving -6 + 5w = -8 + 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. -6 + 5w + -6w = -8 + 6w + -6w Combine like terms: 5w + -6w = -1w -6 + -1w = -8 + 6w + -6w Combine like terms: 6w + -6w = 0 -6 + -1w = -8 + 0 -6 + -1w = -8 Add '6' to each side of the equation. -6 + 6 + -1w = -8 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = -8 + 6 -1w = -8 + 6 Combine like terms: -8 + 6 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2
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