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Simplifying 5 + -2(3v + 2) = 3(8 + -1v) Reorder the terms: 5 + -2(2 + 3v) = 3(8 + -1v) 5 + (2 * -2 + 3v * -2) = 3(8 + -1v) 5 + (-4 + -6v) = 3(8 + -1v) Combine like terms: 5 + -4 = 1 1 + -6v = 3(8 + -1v) 1 + -6v = (8 * 3 + -1v * 3) 1 + -6v = (24 + -3v) Solving 1 + -6v = 24 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 1 + -6v + 3v = 24 + -3v + 3v Combine like terms: -6v + 3v = -3v 1 + -3v = 24 + -3v + 3v Combine like terms: -3v + 3v = 0 1 + -3v = 24 + 0 1 + -3v = 24 Add '-1' to each side of the equation. 1 + -1 + -3v = 24 + -1 Combine like terms: 1 + -1 = 0 0 + -3v = 24 + -1 -3v = 24 + -1 Combine like terms: 24 + -1 = 23 -3v = 23 Divide each side by '-3'. v = -7.666666667 Simplifying v = -7.666666667
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