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Simplifying 5(-7 + 8v) + -3(2 + 3v) = -72 (-7 * 5 + 8v * 5) + -3(2 + 3v) = -72 (-35 + 40v) + -3(2 + 3v) = -72 -35 + 40v + (2 * -3 + 3v * -3) = -72 -35 + 40v + (-6 + -9v) = -72 Reorder the terms: -35 + -6 + 40v + -9v = -72 Combine like terms: -35 + -6 = -41 -41 + 40v + -9v = -72 Combine like terms: 40v + -9v = 31v -41 + 31v = -72 Solving -41 + 31v = -72 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 31v = -72 + 41 Combine like terms: -41 + 41 = 0 0 + 31v = -72 + 41 31v = -72 + 41 Combine like terms: -72 + 41 = -31 31v = -31 Divide each side by '31'. v = -1 Simplifying v = -1
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