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Simplifying -38(v + 3) = -41v + -321 Reorder the terms: -38(3 + v) = -41v + -321 (3 * -38 + v * -38) = -41v + -321 (-114 + -38v) = -41v + -321 Reorder the terms: -114 + -38v = -321 + -41v Solving -114 + -38v = -321 + -41v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '41v' to each side of the equation. -114 + -38v + 41v = -321 + -41v + 41v Combine like terms: -38v + 41v = 3v -114 + 3v = -321 + -41v + 41v Combine like terms: -41v + 41v = 0 -114 + 3v = -321 + 0 -114 + 3v = -321 Add '114' to each side of the equation. -114 + 114 + 3v = -321 + 114 Combine like terms: -114 + 114 = 0 0 + 3v = -321 + 114 3v = -321 + 114 Combine like terms: -321 + 114 = -207 3v = -207 Divide each side by '3'. v = -69 Simplifying v = -69
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