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Simplifying -7(v + 3) + 2v + 6 = 5v + 10 Reorder the terms: -7(3 + v) + 2v + 6 = 5v + 10 (3 * -7 + v * -7) + 2v + 6 = 5v + 10 (-21 + -7v) + 2v + 6 = 5v + 10 Reorder the terms: -21 + 6 + -7v + 2v = 5v + 10 Combine like terms: -21 + 6 = -15 -15 + -7v + 2v = 5v + 10 Combine like terms: -7v + 2v = -5v -15 + -5v = 5v + 10 Reorder the terms: -15 + -5v = 10 + 5v Solving -15 + -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. -15 + -5v + -5v = 10 + 5v + -5v Combine like terms: -5v + -5v = -10v -15 + -10v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -15 + -10v = 10 + 0 -15 + -10v = 10 Add '15' to each side of the equation. -15 + 15 + -10v = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -10v = 10 + 15 -10v = 10 + 15 Combine like terms: 10 + 15 = 25 -10v = 25 Divide each side by '-10'. v = -2.5 Simplifying v = -2.5
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