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Simplifying 6(1 + 4v) + -1(-11 + -1v) = -46 (1 * 6 + 4v * 6) + -1(-11 + -1v) = -46 (6 + 24v) + -1(-11 + -1v) = -46 6 + 24v + (-11 * -1 + -1v * -1) = -46 6 + 24v + (11 + 1v) = -46 Reorder the terms: 6 + 11 + 24v + 1v = -46 Combine like terms: 6 + 11 = 17 17 + 24v + 1v = -46 Combine like terms: 24v + 1v = 25v 17 + 25v = -46 Solving 17 + 25v = -46 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 25v = -46 + -17 Combine like terms: 17 + -17 = 0 0 + 25v = -46 + -17 25v = -46 + -17 Combine like terms: -46 + -17 = -63 25v = -63 Divide each side by '25'. v = -2.52 Simplifying v = -2.52
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