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Simplifying -7(v + 3) + 3v + 7 = 5v + 10 Reorder the terms: -7(3 + v) + 3v + 7 = 5v + 10 (3 * -7 + v * -7) + 3v + 7 = 5v + 10 (-21 + -7v) + 3v + 7 = 5v + 10 Reorder the terms: -21 + 7 + -7v + 3v = 5v + 10 Combine like terms: -21 + 7 = -14 -14 + -7v + 3v = 5v + 10 Combine like terms: -7v + 3v = -4v -14 + -4v = 5v + 10 Reorder the terms: -14 + -4v = 10 + 5v Solving -14 + -4v = 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. -14 + -4v + -5v = 10 + 5v + -5v Combine like terms: -4v + -5v = -9v -14 + -9v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -14 + -9v = 10 + 0 -14 + -9v = 10 Add '14' to each side of the equation. -14 + 14 + -9v = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -9v = 10 + 14 -9v = 10 + 14 Combine like terms: 10 + 14 = 24 -9v = 24 Divide each side by '-9'. v = -2.666666667 Simplifying v = -2.666666667
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