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Simplifying -7(v + 2) + 2v + 6 = 5v + 10 Reorder the terms: -7(2 + v) + 2v + 6 = 5v + 10 (2 * -7 + v * -7) + 2v + 6 = 5v + 10 (-14 + -7v) + 2v + 6 = 5v + 10 Reorder the terms: -14 + 6 + -7v + 2v = 5v + 10 Combine like terms: -14 + 6 = -8 -8 + -7v + 2v = 5v + 10 Combine like terms: -7v + 2v = -5v -8 + -5v = 5v + 10 Reorder the terms: -8 + -5v = 10 + 5v Solving -8 + -5v = 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. -8 + -5v + -5v = 10 + 5v + -5v Combine like terms: -5v + -5v = -10v -8 + -10v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + -10v = 10 + 0 -8 + -10v = 10 Add '8' to each side of the equation. -8 + 8 + -10v = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -10v = 10 + 8 -10v = 10 + 8 Combine like terms: 10 + 8 = 18 -10v = 18 Divide each side by '-10'. v = -1.8 Simplifying v = -1.8
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