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Simplifying 3(-1w + 7) = -1(9 + -3w) Reorder the terms: 3(7 + -1w) = -1(9 + -3w) (7 * 3 + -1w * 3) = -1(9 + -3w) (21 + -3w) = -1(9 + -3w) 21 + -3w = (9 * -1 + -3w * -1) 21 + -3w = (-9 + 3w) Solving 21 + -3w = -9 + 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. 21 + -3w + -3w = -9 + 3w + -3w Combine like terms: -3w + -3w = -6w 21 + -6w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + -6w = -9 + 0 21 + -6w = -9 Add '-21' to each side of the equation. 21 + -21 + -6w = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -6w = -9 + -21 -6w = -9 + -21 Combine like terms: -9 + -21 = -30 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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