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Simplifying -5(1 + -4v) + -8 = -1v + 29 (1 * -5 + -4v * -5) + -8 = -1v + 29 (-5 + 20v) + -8 = -1v + 29 Reorder the terms: -5 + -8 + 20v = -1v + 29 Combine like terms: -5 + -8 = -13 -13 + 20v = -1v + 29 Reorder the terms: -13 + 20v = 29 + -1v Solving -13 + 20v = 29 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -13 + 20v + v = 29 + -1v + v Combine like terms: 20v + v = 21v -13 + 21v = 29 + -1v + v Combine like terms: -1v + v = 0 -13 + 21v = 29 + 0 -13 + 21v = 29 Add '13' to each side of the equation. -13 + 13 + 21v = 29 + 13 Combine like terms: -13 + 13 = 0 0 + 21v = 29 + 13 21v = 29 + 13 Combine like terms: 29 + 13 = 42 21v = 42 Divide each side by '21'. v = 2 Simplifying v = 2
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