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Simplifying -5v + -2(-13v + 18) = 18v + -4 + 7 Reorder the terms: -5v + -2(18 + -13v) = 18v + -4 + 7 -5v + (18 * -2 + -13v * -2) = 18v + -4 + 7 -5v + (-36 + 26v) = 18v + -4 + 7 Reorder the terms: -36 + -5v + 26v = 18v + -4 + 7 Combine like terms: -5v + 26v = 21v -36 + 21v = 18v + -4 + 7 Reorder the terms: -36 + 21v = -4 + 7 + 18v Combine like terms: -4 + 7 = 3 -36 + 21v = 3 + 18v Solving -36 + 21v = 3 + 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. -36 + 21v + -18v = 3 + 18v + -18v Combine like terms: 21v + -18v = 3v -36 + 3v = 3 + 18v + -18v Combine like terms: 18v + -18v = 0 -36 + 3v = 3 + 0 -36 + 3v = 3 Add '36' to each side of the equation. -36 + 36 + 3v = 3 + 36 Combine like terms: -36 + 36 = 0 0 + 3v = 3 + 36 3v = 3 + 36 Combine like terms: 3 + 36 = 39 3v = 39 Divide each side by '3'. v = 13 Simplifying v = 13
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