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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 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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