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Simplifying 5 + 3(4v + -6) = 47 Reorder the terms: 5 + 3(-6 + 4v) = 47 5 + (-6 * 3 + 4v * 3) = 47 5 + (-18 + 12v) = 47 Combine like terms: 5 + -18 = -13 -13 + 12v = 47 Solving -13 + 12v = 47 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 12v = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 12v = 47 + 13 12v = 47 + 13 Combine like terms: 47 + 13 = 60 12v = 60 Divide each side by '12'. v = 5 Simplifying v = 5
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