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Simplifying 3(v + -5) = -4v + 6 Reorder the terms: 3(-5 + v) = -4v + 6 (-5 * 3 + v * 3) = -4v + 6 (-15 + 3v) = -4v + 6 Reorder the terms: -15 + 3v = 6 + -4v Solving -15 + 3v = 6 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -15 + 3v + 4v = 6 + -4v + 4v Combine like terms: 3v + 4v = 7v -15 + 7v = 6 + -4v + 4v Combine like terms: -4v + 4v = 0 -15 + 7v = 6 + 0 -15 + 7v = 6 Add '15' to each side of the equation. -15 + 15 + 7v = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 7v = 6 + 15 7v = 6 + 15 Combine like terms: 6 + 15 = 21 7v = 21 Divide each side by '7'. v = 3 Simplifying v = 3
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