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Simplifying -5(v + 2) + 3v + 7 = 8v + 7 Reorder the terms: -5(2 + v) + 3v + 7 = 8v + 7 (2 * -5 + v * -5) + 3v + 7 = 8v + 7 (-10 + -5v) + 3v + 7 = 8v + 7 Reorder the terms: -10 + 7 + -5v + 3v = 8v + 7 Combine like terms: -10 + 7 = -3 -3 + -5v + 3v = 8v + 7 Combine like terms: -5v + 3v = -2v -3 + -2v = 8v + 7 Reorder the terms: -3 + -2v = 7 + 8v Solving -3 + -2v = 7 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -3 + -2v + -8v = 7 + 8v + -8v Combine like terms: -2v + -8v = -10v -3 + -10v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 -3 + -10v = 7 + 0 -3 + -10v = 7 Add '3' to each side of the equation. -3 + 3 + -10v = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -10v = 7 + 3 -10v = 7 + 3 Combine like terms: 7 + 3 = 10 -10v = 10 Divide each side by '-10'. v = -1 Simplifying v = -1
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