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Simplifying -3(1 + 6v) + 7(v + -7) = -63 (1 * -3 + 6v * -3) + 7(v + -7) = -63 (-3 + -18v) + 7(v + -7) = -63 Reorder the terms: -3 + -18v + 7(-7 + v) = -63 -3 + -18v + (-7 * 7 + v * 7) = -63 -3 + -18v + (-49 + 7v) = -63 Reorder the terms: -3 + -49 + -18v + 7v = -63 Combine like terms: -3 + -49 = -52 -52 + -18v + 7v = -63 Combine like terms: -18v + 7v = -11v -52 + -11v = -63 Solving -52 + -11v = -63 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -11v = -63 + 52 Combine like terms: -52 + 52 = 0 0 + -11v = -63 + 52 -11v = -63 + 52 Combine like terms: -63 + 52 = -11 -11v = -11 Divide each side by '-11'. v = 1 Simplifying v = 1
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