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Simplifying 8 + -3(w + 3) = 4(2w + -14) Reorder the terms: 8 + -3(3 + w) = 4(2w + -14) 8 + (3 * -3 + w * -3) = 4(2w + -14) 8 + (-9 + -3w) = 4(2w + -14) Combine like terms: 8 + -9 = -1 -1 + -3w = 4(2w + -14) Reorder the terms: -1 + -3w = 4(-14 + 2w) -1 + -3w = (-14 * 4 + 2w * 4) -1 + -3w = (-56 + 8w) Solving -1 + -3w = -56 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -1 + -3w + -8w = -56 + 8w + -8w Combine like terms: -3w + -8w = -11w -1 + -11w = -56 + 8w + -8w Combine like terms: 8w + -8w = 0 -1 + -11w = -56 + 0 -1 + -11w = -56 Add '1' to each side of the equation. -1 + 1 + -11w = -56 + 1 Combine like terms: -1 + 1 = 0 0 + -11w = -56 + 1 -11w = -56 + 1 Combine like terms: -56 + 1 = -55 -11w = -55 Divide each side by '-11'. w = 5 Simplifying w = 5
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