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Simplifying 21 + -8w = -3(15 + -1w) 21 + -8w = (15 * -3 + -1w * -3) 21 + -8w = (-45 + 3w) Solving 21 + -8w = -45 + 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 + -8w + -3w = -45 + 3w + -3w Combine like terms: -8w + -3w = -11w 21 + -11w = -45 + 3w + -3w Combine like terms: 3w + -3w = 0 21 + -11w = -45 + 0 21 + -11w = -45 Add '-21' to each side of the equation. 21 + -21 + -11w = -45 + -21 Combine like terms: 21 + -21 = 0 0 + -11w = -45 + -21 -11w = -45 + -21 Combine like terms: -45 + -21 = -66 -11w = -66 Divide each side by '-11'. w = 6 Simplifying w = 6
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