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Simplifying 2 + 10(v + -3) = 2(1 + 2v) Reorder the terms: 2 + 10(-3 + v) = 2(1 + 2v) 2 + (-3 * 10 + v * 10) = 2(1 + 2v) 2 + (-30 + 10v) = 2(1 + 2v) Combine like terms: 2 + -30 = -28 -28 + 10v = 2(1 + 2v) -28 + 10v = (1 * 2 + 2v * 2) -28 + 10v = (2 + 4v) Solving -28 + 10v = 2 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -28 + 10v + -4v = 2 + 4v + -4v Combine like terms: 10v + -4v = 6v -28 + 6v = 2 + 4v + -4v Combine like terms: 4v + -4v = 0 -28 + 6v = 2 + 0 -28 + 6v = 2 Add '28' to each side of the equation. -28 + 28 + 6v = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 6v = 2 + 28 6v = 2 + 28 Combine like terms: 2 + 28 = 30 6v = 30 Divide each side by '6'. v = 5 Simplifying v = 5
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