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Simplifying 4(3v + -2) = 8(2w + 3) Reorder the terms: 4(-2 + 3v) = 8(2w + 3) (-2 * 4 + 3v * 4) = 8(2w + 3) (-8 + 12v) = 8(2w + 3) Reorder the terms: -8 + 12v = 8(3 + 2w) -8 + 12v = (3 * 8 + 2w * 8) -8 + 12v = (24 + 16w) Solving -8 + 12v = 24 + 16w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12v = 24 + 8 + 16w Combine like terms: -8 + 8 = 0 0 + 12v = 24 + 8 + 16w 12v = 24 + 8 + 16w Combine like terms: 24 + 8 = 32 12v = 32 + 16w Divide each side by '12'. v = 2.666666667 + 1.333333333w Simplifying v = 2.666666667 + 1.333333333w
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