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Simplifying 5 + 3(v + -6) = 47 Reorder the terms: 5 + 3(-6 + v) = 47 5 + (-6 * 3 + v * 3) = 47 5 + (-18 + 3v) = 47 Combine like terms: 5 + -18 = -13 -13 + 3v = 47 Solving -13 + 3v = 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 + 3v = 47 + 13 Combine like terms: -13 + 13 = 0 0 + 3v = 47 + 13 3v = 47 + 13 Combine like terms: 47 + 13 = 60 3v = 60 Divide each side by '3'. v = 20 Simplifying v = 20
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