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Simplifying 3 = 2(v + -4) + 1 Reorder the terms: 3 = 2(-4 + v) + 1 3 = (-4 * 2 + v * 2) + 1 3 = (-8 + 2v) + 1 Reorder the terms: 3 = -8 + 1 + 2v Combine like terms: -8 + 1 = -7 3 = -7 + 2v Solving 3 = -7 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 3 + -2v = -7 + 2v + -2v Combine like terms: 2v + -2v = 0 3 + -2v = -7 + 0 3 + -2v = -7 Add '-3' to each side of the equation. 3 + -3 + -2v = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -2v = -7 + -3 -2v = -7 + -3 Combine like terms: -7 + -3 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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