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Simplifying -6(v + 2) + 4v + 7 = 7v + 10 Reorder the terms: -6(2 + v) + 4v + 7 = 7v + 10 (2 * -6 + v * -6) + 4v + 7 = 7v + 10 (-12 + -6v) + 4v + 7 = 7v + 10 Reorder the terms: -12 + 7 + -6v + 4v = 7v + 10 Combine like terms: -12 + 7 = -5 -5 + -6v + 4v = 7v + 10 Combine like terms: -6v + 4v = -2v -5 + -2v = 7v + 10 Reorder the terms: -5 + -2v = 10 + 7v Solving -5 + -2v = 10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -5 + -2v + -7v = 10 + 7v + -7v Combine like terms: -2v + -7v = -9v -5 + -9v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -5 + -9v = 10 + 0 -5 + -9v = 10 Add '5' to each side of the equation. -5 + 5 + -9v = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -9v = 10 + 5 -9v = 10 + 5 Combine like terms: 10 + 5 = 15 -9v = 15 Divide each side by '-9'. v = -1.666666667 Simplifying v = -1.666666667
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