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Simplifying 10 + 5(v + -3) = 3(v + 1) Reorder the terms: 10 + 5(-3 + v) = 3(v + 1) 10 + (-3 * 5 + v * 5) = 3(v + 1) 10 + (-15 + 5v) = 3(v + 1) Combine like terms: 10 + -15 = -5 -5 + 5v = 3(v + 1) Reorder the terms: -5 + 5v = 3(1 + v) -5 + 5v = (1 * 3 + v * 3) -5 + 5v = (3 + 3v) Solving -5 + 5v = 3 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -5 + 5v + -3v = 3 + 3v + -3v Combine like terms: 5v + -3v = 2v -5 + 2v = 3 + 3v + -3v Combine like terms: 3v + -3v = 0 -5 + 2v = 3 + 0 -5 + 2v = 3 Add '5' to each side of the equation. -5 + 5 + 2v = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2v = 3 + 5 2v = 3 + 5 Combine like terms: 3 + 5 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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