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Simplifying -1 + 11(5v + 4) = 10(-4v + 4) + 3 Reorder the terms: -1 + 11(4 + 5v) = 10(-4v + 4) + 3 -1 + (4 * 11 + 5v * 11) = 10(-4v + 4) + 3 -1 + (44 + 55v) = 10(-4v + 4) + 3 Combine like terms: -1 + 44 = 43 43 + 55v = 10(-4v + 4) + 3 Reorder the terms: 43 + 55v = 10(4 + -4v) + 3 43 + 55v = (4 * 10 + -4v * 10) + 3 43 + 55v = (40 + -40v) + 3 Reorder the terms: 43 + 55v = 40 + 3 + -40v Combine like terms: 40 + 3 = 43 43 + 55v = 43 + -40v Add '-43' to each side of the equation. 43 + -43 + 55v = 43 + -43 + -40v Combine like terms: 43 + -43 = 0 0 + 55v = 43 + -43 + -40v 55v = 43 + -43 + -40v Combine like terms: 43 + -43 = 0 55v = 0 + -40v 55v = -40v Solving 55v = -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. 55v + 40v = -40v + 40v Combine like terms: 55v + 40v = 95v 95v = -40v + 40v Combine like terms: -40v + 40v = 0 95v = 0 Divide each side by '95'. v = 0 Simplifying v = 0
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