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Simplifying [4](1[v + -9] * 1) = 2v + -18 Reorder the terms: 4(1[-9 + v] * 1) = 2v + -18 Reorder the terms for easier multiplication: 4(1 * 1[-9 + v]) = 2v + -18 Multiply 1 * 1 4(1[-9 + v]) = 2v + -18 4([-9 * 1 + v * 1]) = 2v + -18 4([-9 + 1v]) = 2v + -18 (-9 * 4 + 1v * 4) = 2v + -18 (-36 + 4v) = 2v + -18 Reorder the terms: -36 + 4v = -18 + 2v Solving -36 + 4v = -18 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -36 + 4v + -2v = -18 + 2v + -2v Combine like terms: 4v + -2v = 2v -36 + 2v = -18 + 2v + -2v Combine like terms: 2v + -2v = 0 -36 + 2v = -18 + 0 -36 + 2v = -18 Add '36' to each side of the equation. -36 + 36 + 2v = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 2v = -18 + 36 2v = -18 + 36 Combine like terms: -18 + 36 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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