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Simplifying -9(1 + 8v) + -6(-7v + -1) = -63 (1 * -9 + 8v * -9) + -6(-7v + -1) = -63 (-9 + -72v) + -6(-7v + -1) = -63 Reorder the terms: -9 + -72v + -6(-1 + -7v) = -63 -9 + -72v + (-1 * -6 + -7v * -6) = -63 -9 + -72v + (6 + 42v) = -63 Reorder the terms: -9 + 6 + -72v + 42v = -63 Combine like terms: -9 + 6 = -3 -3 + -72v + 42v = -63 Combine like terms: -72v + 42v = -30v -3 + -30v = -63 Solving -3 + -30v = -63 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -30v = -63 + 3 Combine like terms: -3 + 3 = 0 0 + -30v = -63 + 3 -30v = -63 + 3 Combine like terms: -63 + 3 = -60 -30v = -60 Divide each side by '-30'. v = 2 Simplifying v = 2
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