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Simplifying 4(3w + -2) = 2(6 + -1w) Reorder the terms: 4(-2 + 3w) = 2(6 + -1w) (-2 * 4 + 3w * 4) = 2(6 + -1w) (-8 + 12w) = 2(6 + -1w) -8 + 12w = (6 * 2 + -1w * 2) -8 + 12w = (12 + -2w) Solving -8 + 12w = 12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -8 + 12w + 2w = 12 + -2w + 2w Combine like terms: 12w + 2w = 14w -8 + 14w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 14w = 12 + 0 -8 + 14w = 12 Add '8' to each side of the equation. -8 + 8 + 14w = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 14w = 12 + 8 14w = 12 + 8 Combine like terms: 12 + 8 = 20 14w = 20 Divide each side by '14'. w = 1.428571429 Simplifying w = 1.428571429
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