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Simplifying (v + 7) + -2v = 5v + -1(3v + -4) Reorder the terms: (7 + v) + -2v = 5v + -1(3v + -4) Remove parenthesis around (7 + v) 7 + v + -2v = 5v + -1(3v + -4) Combine like terms: v + -2v = -1v 7 + -1v = 5v + -1(3v + -4) Reorder the terms: 7 + -1v = 5v + -1(-4 + 3v) 7 + -1v = 5v + (-4 * -1 + 3v * -1) 7 + -1v = 5v + (4 + -3v) Reorder the terms: 7 + -1v = 4 + 5v + -3v Combine like terms: 5v + -3v = 2v 7 + -1v = 4 + 2v Solving 7 + -1v = 4 + 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. 7 + -1v + -2v = 4 + 2v + -2v Combine like terms: -1v + -2v = -3v 7 + -3v = 4 + 2v + -2v Combine like terms: 2v + -2v = 0 7 + -3v = 4 + 0 7 + -3v = 4 Add '-7' to each side of the equation. 7 + -7 + -3v = 4 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 4 + -7 -3v = 4 + -7 Combine like terms: 4 + -7 = -3 -3v = -3 Divide each side by '-3'. v = 1 Simplifying v = 1
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