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Simplifying [30] = 3(1[v + -5] * 1) + -8v 30 = 3(1[v + -5] * 1) + -8v Reorder the terms: 30 = 3(1[-5 + v] * 1) + -8v Reorder the terms for easier multiplication: 30 = 3(1 * 1[-5 + v]) + -8v Multiply 1 * 1 30 = 3(1[-5 + v]) + -8v 30 = 3([-5 * 1 + v * 1]) + -8v 30 = 3([-5 + 1v]) + -8v 30 = (-5 * 3 + 1v * 3) + -8v 30 = (-15 + 3v) + -8v Combine like terms: 3v + -8v = -5v 30 = -15 + -5v Solving 30 = -15 + -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. 30 + 5v = -15 + -5v + 5v Combine like terms: -5v + 5v = 0 30 + 5v = -15 + 0 30 + 5v = -15 Add '-30' to each side of the equation. 30 + -30 + 5v = -15 + -30 Combine like terms: 30 + -30 = 0 0 + 5v = -15 + -30 5v = -15 + -30 Combine like terms: -15 + -30 = -45 5v = -45 Divide each side by '5'. v = -9 Simplifying v = -9
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