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Simplifying -3v + -2(v + 10) = 6(1 + -3v) Reorder the terms: -3v + -2(10 + v) = 6(1 + -3v) -3v + (10 * -2 + v * -2) = 6(1 + -3v) -3v + (-20 + -2v) = 6(1 + -3v) Reorder the terms: -20 + -3v + -2v = 6(1 + -3v) Combine like terms: -3v + -2v = -5v -20 + -5v = 6(1 + -3v) -20 + -5v = (1 * 6 + -3v * 6) -20 + -5v = (6 + -18v) Solving -20 + -5v = 6 + -18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18v' to each side of the equation. -20 + -5v + 18v = 6 + -18v + 18v Combine like terms: -5v + 18v = 13v -20 + 13v = 6 + -18v + 18v Combine like terms: -18v + 18v = 0 -20 + 13v = 6 + 0 -20 + 13v = 6 Add '20' to each side of the equation. -20 + 20 + 13v = 6 + 20 Combine like terms: -20 + 20 = 0 0 + 13v = 6 + 20 13v = 6 + 20 Combine like terms: 6 + 20 = 26 13v = 26 Divide each side by '13'. v = 2 Simplifying v = 2
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