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Simplifying 6(w + -3) + -1(2w + -7) = 3w Reorder the terms: 6(-3 + w) + -1(2w + -7) = 3w (-3 * 6 + w * 6) + -1(2w + -7) = 3w (-18 + 6w) + -1(2w + -7) = 3w Reorder the terms: -18 + 6w + -1(-7 + 2w) = 3w -18 + 6w + (-7 * -1 + 2w * -1) = 3w -18 + 6w + (7 + -2w) = 3w Reorder the terms: -18 + 7 + 6w + -2w = 3w Combine like terms: -18 + 7 = -11 -11 + 6w + -2w = 3w Combine like terms: 6w + -2w = 4w -11 + 4w = 3w Solving -11 + 4w = 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. -11 + 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w -11 + 1w = 3w + -3w Combine like terms: 3w + -3w = 0 -11 + 1w = 0 Add '11' to each side of the equation. -11 + 11 + 1w = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1w = 0 + 11 1w = 0 + 11 Combine like terms: 0 + 11 = 11 1w = 11 Divide each side by '1'. w = 11 Simplifying w = 11
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