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Simplifying 6(3w + -2) = 2(2w + 1) Reorder the terms: 6(-2 + 3w) = 2(2w + 1) (-2 * 6 + 3w * 6) = 2(2w + 1) (-12 + 18w) = 2(2w + 1) Reorder the terms: -12 + 18w = 2(1 + 2w) -12 + 18w = (1 * 2 + 2w * 2) -12 + 18w = (2 + 4w) Solving -12 + 18w = 2 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -12 + 18w + -4w = 2 + 4w + -4w Combine like terms: 18w + -4w = 14w -12 + 14w = 2 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + 14w = 2 + 0 -12 + 14w = 2 Add '12' to each side of the equation. -12 + 12 + 14w = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 14w = 2 + 12 14w = 2 + 12 Combine like terms: 2 + 12 = 14 14w = 14 Divide each side by '14'. w = 1 Simplifying w = 1
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