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Simplifying -5(1 + -5v) + -8 = -6 + -2(-2v + -7) (1 * -5 + -5v * -5) + -8 = -6 + -2(-2v + -7) (-5 + 25v) + -8 = -6 + -2(-2v + -7) Reorder the terms: -5 + -8 + 25v = -6 + -2(-2v + -7) Combine like terms: -5 + -8 = -13 -13 + 25v = -6 + -2(-2v + -7) Reorder the terms: -13 + 25v = -6 + -2(-7 + -2v) -13 + 25v = -6 + (-7 * -2 + -2v * -2) -13 + 25v = -6 + (14 + 4v) Combine like terms: -6 + 14 = 8 -13 + 25v = 8 + 4v Solving -13 + 25v = 8 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -13 + 25v + -4v = 8 + 4v + -4v Combine like terms: 25v + -4v = 21v -13 + 21v = 8 + 4v + -4v Combine like terms: 4v + -4v = 0 -13 + 21v = 8 + 0 -13 + 21v = 8 Add '13' to each side of the equation. -13 + 13 + 21v = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 21v = 8 + 13 21v = 8 + 13 Combine like terms: 8 + 13 = 21 21v = 21 Divide each side by '21'. v = 1 Simplifying v = 1
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