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Simplifying 6(v + -3) + -1(v + -3) = v + -2 + -1 Reorder the terms: 6(-3 + v) + -1(v + -3) = v + -2 + -1 (-3 * 6 + v * 6) + -1(v + -3) = v + -2 + -1 (-18 + 6v) + -1(v + -3) = v + -2 + -1 Reorder the terms: -18 + 6v + -1(-3 + v) = v + -2 + -1 -18 + 6v + (-3 * -1 + v * -1) = v + -2 + -1 -18 + 6v + (3 + -1v) = v + -2 + -1 Reorder the terms: -18 + 3 + 6v + -1v = v + -2 + -1 Combine like terms: -18 + 3 = -15 -15 + 6v + -1v = v + -2 + -1 Combine like terms: 6v + -1v = 5v -15 + 5v = v + -2 + -1 Reorder the terms: -15 + 5v = -2 + -1 + v Combine like terms: -2 + -1 = -3 -15 + 5v = -3 + v Solving -15 + 5v = -3 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -15 + 5v + -1v = -3 + v + -1v Combine like terms: 5v + -1v = 4v -15 + 4v = -3 + v + -1v Combine like terms: v + -1v = 0 -15 + 4v = -3 + 0 -15 + 4v = -3 Add '15' to each side of the equation. -15 + 15 + 4v = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 4v = -3 + 15 4v = -3 + 15 Combine like terms: -3 + 15 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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