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Simplifying -5(v + 2) + 3v + 5 = 8v + 7 Reorder the terms: -5(2 + v) + 3v + 5 = 8v + 7 (2 * -5 + v * -5) + 3v + 5 = 8v + 7 (-10 + -5v) + 3v + 5 = 8v + 7 Reorder the terms: -10 + 5 + -5v + 3v = 8v + 7 Combine like terms: -10 + 5 = -5 -5 + -5v + 3v = 8v + 7 Combine like terms: -5v + 3v = -2v -5 + -2v = 8v + 7 Reorder the terms: -5 + -2v = 7 + 8v Solving -5 + -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. -5 + -2v + -8v = 7 + 8v + -8v Combine like terms: -2v + -8v = -10v -5 + -10v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 -5 + -10v = 7 + 0 -5 + -10v = 7 Add '5' to each side of the equation. -5 + 5 + -10v = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -10v = 7 + 5 -10v = 7 + 5 Combine like terms: 7 + 5 = 12 -10v = 12 Divide each side by '-10'. v = -1.2 Simplifying v = -1.2
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