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Simplifying -1(4v + -2) + -6(1 + -7v) = 72 Reorder the terms: -1(-2 + 4v) + -6(1 + -7v) = 72 (-2 * -1 + 4v * -1) + -6(1 + -7v) = 72 (2 + -4v) + -6(1 + -7v) = 72 2 + -4v + (1 * -6 + -7v * -6) = 72 2 + -4v + (-6 + 42v) = 72 Reorder the terms: 2 + -6 + -4v + 42v = 72 Combine like terms: 2 + -6 = -4 -4 + -4v + 42v = 72 Combine like terms: -4v + 42v = 38v -4 + 38v = 72 Solving -4 + 38v = 72 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 38v = 72 + 4 Combine like terms: -4 + 4 = 0 0 + 38v = 72 + 4 38v = 72 + 4 Combine like terms: 72 + 4 = 76 38v = 76 Divide each side by '38'. v = 2 Simplifying v = 2
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