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Simplifying 4(5v + 3) + -5(2v + 1) = 27 Reorder the terms: 4(3 + 5v) + -5(2v + 1) = 27 (3 * 4 + 5v * 4) + -5(2v + 1) = 27 (12 + 20v) + -5(2v + 1) = 27 Reorder the terms: 12 + 20v + -5(1 + 2v) = 27 12 + 20v + (1 * -5 + 2v * -5) = 27 12 + 20v + (-5 + -10v) = 27 Reorder the terms: 12 + -5 + 20v + -10v = 27 Combine like terms: 12 + -5 = 7 7 + 20v + -10v = 27 Combine like terms: 20v + -10v = 10v 7 + 10v = 27 Solving 7 + 10v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10v = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10v = 27 + -7 10v = 27 + -7 Combine like terms: 27 + -7 = 20 10v = 20 Divide each side by '10'. v = 2 Simplifying v = 2
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