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Simplifying 4(3w + 2) = 8(2w + 3) Reorder the terms: 4(2 + 3w) = 8(2w + 3) (2 * 4 + 3w * 4) = 8(2w + 3) (8 + 12w) = 8(2w + 3) Reorder the terms: 8 + 12w = 8(3 + 2w) 8 + 12w = (3 * 8 + 2w * 8) 8 + 12w = (24 + 16w) Solving 8 + 12w = 24 + 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. 8 + 12w + -16w = 24 + 16w + -16w Combine like terms: 12w + -16w = -4w 8 + -4w = 24 + 16w + -16w Combine like terms: 16w + -16w = 0 8 + -4w = 24 + 0 8 + -4w = 24 Add '-8' to each side of the equation. 8 + -8 + -4w = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -4w = 24 + -8 -4w = 24 + -8 Combine like terms: 24 + -8 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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