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Simplifying -6(x + 4) + 3v + 7 = 5v + 10 Reorder the terms: -6(4 + x) + 3v + 7 = 5v + 10 (4 * -6 + x * -6) + 3v + 7 = 5v + 10 (-24 + -6x) + 3v + 7 = 5v + 10 Reorder the terms: -24 + 7 + 3v + -6x = 5v + 10 Combine like terms: -24 + 7 = -17 -17 + 3v + -6x = 5v + 10 Reorder the terms: -17 + 3v + -6x = 10 + 5v Solving -17 + 3v + -6x = 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 + -6x = 10 + 5v + -5v Combine like terms: 3v + -5v = -2v -17 + -2v + -6x = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -17 + -2v + -6x = 10 + 0 -17 + -2v + -6x = 10 Add '17' to each side of the equation. -17 + -2v + 17 + -6x = 10 + 17 Reorder the terms: -17 + 17 + -2v + -6x = 10 + 17 Combine like terms: -17 + 17 = 0 0 + -2v + -6x = 10 + 17 -2v + -6x = 10 + 17 Combine like terms: 10 + 17 = 27 -2v + -6x = 27 Add '6x' to each side of the equation. -2v + -6x + 6x = 27 + 6x Combine like terms: -6x + 6x = 0 -2v + 0 = 27 + 6x -2v = 27 + 6x Divide each side by '-2'. v = -13.5 + -3x Simplifying v = -13.5 + -3x
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