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Simplifying 5(v + -2) = -7v + 26 Reorder the terms: 5(-2 + v) = -7v + 26 (-2 * 5 + v * 5) = -7v + 26 (-10 + 5v) = -7v + 26 Reorder the terms: -10 + 5v = 26 + -7v Solving -10 + 5v = 26 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -10 + 5v + 7v = 26 + -7v + 7v Combine like terms: 5v + 7v = 12v -10 + 12v = 26 + -7v + 7v Combine like terms: -7v + 7v = 0 -10 + 12v = 26 + 0 -10 + 12v = 26 Add '10' to each side of the equation. -10 + 10 + 12v = 26 + 10 Combine like terms: -10 + 10 = 0 0 + 12v = 26 + 10 12v = 26 + 10 Combine like terms: 26 + 10 = 36 12v = 36 Divide each side by '12'. v = 3 Simplifying v = 3
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