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Simplifying -7(v + 3) + 2v + 6 = 7v + 10 Reorder the terms: -7(3 + v) + 2v + 6 = 7v + 10 (3 * -7 + v * -7) + 2v + 6 = 7v + 10 (-21 + -7v) + 2v + 6 = 7v + 10 Reorder the terms: -21 + 6 + -7v + 2v = 7v + 10 Combine like terms: -21 + 6 = -15 -15 + -7v + 2v = 7v + 10 Combine like terms: -7v + 2v = -5v -15 + -5v = 7v + 10 Reorder the terms: -15 + -5v = 10 + 7v Solving -15 + -5v = 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. -15 + -5v + -7v = 10 + 7v + -7v Combine like terms: -5v + -7v = -12v -15 + -12v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -15 + -12v = 10 + 0 -15 + -12v = 10 Add '15' to each side of the equation. -15 + 15 + -12v = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -12v = 10 + 15 -12v = 10 + 15 Combine like terms: 10 + 15 = 25 -12v = 25 Divide each side by '-12'. v = -2.083333333 Simplifying v = -2.083333333
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