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Simplifying -6(w + 2) = 2w + -8 + 2(3w + 6) Reorder the terms: -6(2 + w) = 2w + -8 + 2(3w + 6) (2 * -6 + w * -6) = 2w + -8 + 2(3w + 6) (-12 + -6w) = 2w + -8 + 2(3w + 6) Reorder the terms: -12 + -6w = 2w + -8 + 2(6 + 3w) -12 + -6w = 2w + -8 + (6 * 2 + 3w * 2) -12 + -6w = 2w + -8 + (12 + 6w) Reorder the terms: -12 + -6w = -8 + 12 + 2w + 6w Combine like terms: -8 + 12 = 4 -12 + -6w = 4 + 2w + 6w Combine like terms: 2w + 6w = 8w -12 + -6w = 4 + 8w Solving -12 + -6w = 4 + 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. -12 + -6w + -8w = 4 + 8w + -8w Combine like terms: -6w + -8w = -14w -12 + -14w = 4 + 8w + -8w Combine like terms: 8w + -8w = 0 -12 + -14w = 4 + 0 -12 + -14w = 4 Add '12' to each side of the equation. -12 + 12 + -14w = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -14w = 4 + 12 -14w = 4 + 12 Combine like terms: 4 + 12 = 16 -14w = 16 Divide each side by '-14'. w = -1.142857143 Simplifying w = -1.142857143
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