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