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Simplifying 12 + -7(6w + 3) = 11w + -7(7 + 2w) Reorder the terms: 12 + -7(3 + 6w) = 11w + -7(7 + 2w) 12 + (3 * -7 + 6w * -7) = 11w + -7(7 + 2w) 12 + (-21 + -42w) = 11w + -7(7 + 2w) Combine like terms: 12 + -21 = -9 -9 + -42w = 11w + -7(7 + 2w) -9 + -42w = 11w + (7 * -7 + 2w * -7) -9 + -42w = 11w + (-49 + -14w) Reorder the terms: -9 + -42w = -49 + 11w + -14w Combine like terms: 11w + -14w = -3w -9 + -42w = -49 + -3w Solving -9 + -42w = -49 + -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. -9 + -42w + 3w = -49 + -3w + 3w Combine like terms: -42w + 3w = -39w -9 + -39w = -49 + -3w + 3w Combine like terms: -3w + 3w = 0 -9 + -39w = -49 + 0 -9 + -39w = -49 Add '9' to each side of the equation. -9 + 9 + -39w = -49 + 9 Combine like terms: -9 + 9 = 0 0 + -39w = -49 + 9 -39w = -49 + 9 Combine like terms: -49 + 9 = -40 -39w = -40 Divide each side by '-39'. w = 1.025641026 Simplifying w = 1.025641026
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