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Simplifying 6(3w + -4) = 2(7w + -4) Reorder the terms: 6(-4 + 3w) = 2(7w + -4) (-4 * 6 + 3w * 6) = 2(7w + -4) (-24 + 18w) = 2(7w + -4) Reorder the terms: -24 + 18w = 2(-4 + 7w) -24 + 18w = (-4 * 2 + 7w * 2) -24 + 18w = (-8 + 14w) Solving -24 + 18w = -8 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -24 + 18w + -14w = -8 + 14w + -14w Combine like terms: 18w + -14w = 4w -24 + 4w = -8 + 14w + -14w Combine like terms: 14w + -14w = 0 -24 + 4w = -8 + 0 -24 + 4w = -8 Add '24' to each side of the equation. -24 + 24 + 4w = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 4w = -8 + 24 4w = -8 + 24 Combine like terms: -8 + 24 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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