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Simplifying -5v + -1(5v + 5) = -1(v + -7) + -3 Reorder the terms: -5v + -1(5 + 5v) = -1(v + -7) + -3 -5v + (5 * -1 + 5v * -1) = -1(v + -7) + -3 -5v + (-5 + -5v) = -1(v + -7) + -3 Reorder the terms: -5 + -5v + -5v = -1(v + -7) + -3 Combine like terms: -5v + -5v = -10v -5 + -10v = -1(v + -7) + -3 Reorder the terms: -5 + -10v = -1(-7 + v) + -3 -5 + -10v = (-7 * -1 + v * -1) + -3 -5 + -10v = (7 + -1v) + -3 Reorder the terms: -5 + -10v = 7 + -3 + -1v Combine like terms: 7 + -3 = 4 -5 + -10v = 4 + -1v Solving -5 + -10v = 4 + -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. -5 + -10v + v = 4 + -1v + v Combine like terms: -10v + v = -9v -5 + -9v = 4 + -1v + v Combine like terms: -1v + v = 0 -5 + -9v = 4 + 0 -5 + -9v = 4 Add '5' to each side of the equation. -5 + 5 + -9v = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -9v = 4 + 5 -9v = 4 + 5 Combine like terms: 4 + 5 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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