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Simplifying 5(4v + -7) + -3 = 1 + 6v Reorder the terms: 5(-7 + 4v) + -3 = 1 + 6v (-7 * 5 + 4v * 5) + -3 = 1 + 6v (-35 + 20v) + -3 = 1 + 6v Reorder the terms: -35 + -3 + 20v = 1 + 6v Combine like terms: -35 + -3 = -38 -38 + 20v = 1 + 6v Solving -38 + 20v = 1 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -38 + 20v + -6v = 1 + 6v + -6v Combine like terms: 20v + -6v = 14v -38 + 14v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 -38 + 14v = 1 + 0 -38 + 14v = 1 Add '38' to each side of the equation. -38 + 38 + 14v = 1 + 38 Combine like terms: -38 + 38 = 0 0 + 14v = 1 + 38 14v = 1 + 38 Combine like terms: 1 + 38 = 39 14v = 39 Divide each side by '14'. v = 2.785714286 Simplifying v = 2.785714286
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