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Simplifying 6w + 3(4w + -2) = 4w + 2(6w + -3) Reorder the terms: 6w + 3(-2 + 4w) = 4w + 2(6w + -3) 6w + (-2 * 3 + 4w * 3) = 4w + 2(6w + -3) 6w + (-6 + 12w) = 4w + 2(6w + -3) Reorder the terms: -6 + 6w + 12w = 4w + 2(6w + -3) Combine like terms: 6w + 12w = 18w -6 + 18w = 4w + 2(6w + -3) Reorder the terms: -6 + 18w = 4w + 2(-3 + 6w) -6 + 18w = 4w + (-3 * 2 + 6w * 2) -6 + 18w = 4w + (-6 + 12w) Reorder the terms: -6 + 18w = -6 + 4w + 12w Combine like terms: 4w + 12w = 16w -6 + 18w = -6 + 16w Add '6' to each side of the equation. -6 + 6 + 18w = -6 + 6 + 16w Combine like terms: -6 + 6 = 0 0 + 18w = -6 + 6 + 16w 18w = -6 + 6 + 16w Combine like terms: -6 + 6 = 0 18w = 0 + 16w 18w = 16w Solving 18w = 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 18w + -16w = 16w + -16w Combine like terms: 18w + -16w = 2w 2w = 16w + -16w Combine like terms: 16w + -16w = 0 2w = 0 Divide each side by '2'. w = 0 Simplifying w = 0
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