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Simplifying 12 + -3(2w + 1) = 7w + -3(7w + w) Reorder the terms: 12 + -3(1 + 2w) = 7w + -3(7w + w) 12 + (1 * -3 + 2w * -3) = 7w + -3(7w + w) 12 + (-3 + -6w) = 7w + -3(7w + w) Combine like terms: 12 + -3 = 9 9 + -6w = 7w + -3(7w + w) Combine like terms: 7w + w = 8w 9 + -6w = 7w + -3(8w) Remove parenthesis around (8w) 9 + -6w = 7w + -3 * 8w Multiply -3 * 8 9 + -6w = 7w + -24w Combine like terms: 7w + -24w = -17w 9 + -6w = -17w Solving 9 + -6w = -17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17w' to each side of the equation. 9 + -6w + 17w = -17w + 17w Combine like terms: -6w + 17w = 11w 9 + 11w = -17w + 17w Combine like terms: -17w + 17w = 0 9 + 11w = 0 Add '-9' to each side of the equation. 9 + -9 + 11w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11w = 0 + -9 11w = 0 + -9 Combine like terms: 0 + -9 = -9 11w = -9 Divide each side by '11'. w = -0.8181818182 Simplifying w = -0.8181818182
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