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Simplifying -8v + 5(8v + -19) = 13v + 1 + -5v Reorder the terms: -8v + 5(-19 + 8v) = 13v + 1 + -5v -8v + (-19 * 5 + 8v * 5) = 13v + 1 + -5v -8v + (-95 + 40v) = 13v + 1 + -5v Reorder the terms: -95 + -8v + 40v = 13v + 1 + -5v Combine like terms: -8v + 40v = 32v -95 + 32v = 13v + 1 + -5v Reorder the terms: -95 + 32v = 1 + 13v + -5v Combine like terms: 13v + -5v = 8v -95 + 32v = 1 + 8v Solving -95 + 32v = 1 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -95 + 32v + -8v = 1 + 8v + -8v Combine like terms: 32v + -8v = 24v -95 + 24v = 1 + 8v + -8v Combine like terms: 8v + -8v = 0 -95 + 24v = 1 + 0 -95 + 24v = 1 Add '95' to each side of the equation. -95 + 95 + 24v = 1 + 95 Combine like terms: -95 + 95 = 0 0 + 24v = 1 + 95 24v = 1 + 95 Combine like terms: 1 + 95 = 96 24v = 96 Divide each side by '24'. v = 4 Simplifying v = 4
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