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Simplifying -6(v + 4) + 3v + 7 = 5v + 10 Reorder the terms: -6(4 + v) + 3v + 7 = 5v + 10 (4 * -6 + v * -6) + 3v + 7 = 5v + 10 (-24 + -6v) + 3v + 7 = 5v + 10 Reorder the terms: -24 + 7 + -6v + 3v = 5v + 10 Combine like terms: -24 + 7 = -17 -17 + -6v + 3v = 5v + 10 Combine like terms: -6v + 3v = -3v -17 + -3v = 5v + 10 Reorder the terms: -17 + -3v = 10 + 5v Solving -17 + -3v = 10 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -17 + -3v + -5v = 10 + 5v + -5v Combine like terms: -3v + -5v = -8v -17 + -8v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -17 + -8v = 10 + 0 -17 + -8v = 10 Add '17' to each side of the equation. -17 + 17 + -8v = 10 + 17 Combine like terms: -17 + 17 = 0 0 + -8v = 10 + 17 -8v = 10 + 17 Combine like terms: 10 + 17 = 27 -8v = 27 Divide each side by '-8'. v = -3.375 Simplifying v = -3.375
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