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Simplifying 3 + -2(-4v + -3) = 4v + -5 Reorder the terms: 3 + -2(-3 + -4v) = 4v + -5 3 + (-3 * -2 + -4v * -2) = 4v + -5 3 + (6 + 8v) = 4v + -5 Combine like terms: 3 + 6 = 9 9 + 8v = 4v + -5 Reorder the terms: 9 + 8v = -5 + 4v Solving 9 + 8v = -5 + 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. 9 + 8v + -4v = -5 + 4v + -4v Combine like terms: 8v + -4v = 4v 9 + 4v = -5 + 4v + -4v Combine like terms: 4v + -4v = 0 9 + 4v = -5 + 0 9 + 4v = -5 Add '-9' to each side of the equation. 9 + -9 + 4v = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 4v = -5 + -9 4v = -5 + -9 Combine like terms: -5 + -9 = -14 4v = -14 Divide each side by '4'. v = -3.5 Simplifying v = -3.5
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