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Simplifying 4(v + 1) + v = 8(v + -1) + 6 Reorder the terms: 4(1 + v) + v = 8(v + -1) + 6 (1 * 4 + v * 4) + v = 8(v + -1) + 6 (4 + 4v) + v = 8(v + -1) + 6 Combine like terms: 4v + v = 5v 4 + 5v = 8(v + -1) + 6 Reorder the terms: 4 + 5v = 8(-1 + v) + 6 4 + 5v = (-1 * 8 + v * 8) + 6 4 + 5v = (-8 + 8v) + 6 Reorder the terms: 4 + 5v = -8 + 6 + 8v Combine like terms: -8 + 6 = -2 4 + 5v = -2 + 8v Solving 4 + 5v = -2 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 4 + 5v + -8v = -2 + 8v + -8v Combine like terms: 5v + -8v = -3v 4 + -3v = -2 + 8v + -8v Combine like terms: 8v + -8v = 0 4 + -3v = -2 + 0 4 + -3v = -2 Add '-4' to each side of the equation. 4 + -4 + -3v = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = -2 + -4 -3v = -2 + -4 Combine like terms: -2 + -4 = -6 -3v = -6 Divide each side by '-3'. v = 2 Simplifying v = 2
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