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Simplifying 4(1[v + -1] * 1) = -1[3] * v + 38 Reorder the terms: 4(1[-1 + v] * 1) = -1[3] * v + 38 Reorder the terms for easier multiplication: 4(1 * 1[-1 + v]) = -1[3] * v + 38 Multiply 1 * 1 4(1[-1 + v]) = -1[3] * v + 38 4([-1 * 1 + v * 1]) = -1[3] * v + 38 4([-1 + 1v]) = -1[3] * v + 38 (-1 * 4 + 1v * 4) = -1[3] * v + 38 (-4 + 4v) = -1[3] * v + 38 Multiply -1 * 3 -4 + 4v = -3v + 38 Reorder the terms: -4 + 4v = 38 + -3v Solving -4 + 4v = 38 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -4 + 4v + 3v = 38 + -3v + 3v Combine like terms: 4v + 3v = 7v -4 + 7v = 38 + -3v + 3v Combine like terms: -3v + 3v = 0 -4 + 7v = 38 + 0 -4 + 7v = 38 Add '4' to each side of the equation. -4 + 4 + 7v = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 7v = 38 + 4 7v = 38 + 4 Combine like terms: 38 + 4 = 42 7v = 42 Divide each side by '7'. v = 6 Simplifying v = 6
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