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Simplifying [6] = 3(1[v + 8] * 1) + 2v 6 = 3(1[v + 8] * 1) + 2v Reorder the terms: 6 = 3(1[8 + v] * 1) + 2v Reorder the terms for easier multiplication: 6 = 3(1 * 1[8 + v]) + 2v Multiply 1 * 1 6 = 3(1[8 + v]) + 2v 6 = 3([8 * 1 + v * 1]) + 2v 6 = 3([8 + 1v]) + 2v 6 = (8 * 3 + 1v * 3) + 2v 6 = (24 + 3v) + 2v Combine like terms: 3v + 2v = 5v 6 = 24 + 5v Solving 6 = 24 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 6 + -5v = 24 + 5v + -5v Combine like terms: 5v + -5v = 0 6 + -5v = 24 + 0 6 + -5v = 24 Add '-6' to each side of the equation. 6 + -6 + -5v = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = 24 + -6 -5v = 24 + -6 Combine like terms: 24 + -6 = 18 -5v = 18 Divide each side by '-5'. v = -3.6 Simplifying v = -3.6
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