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Simplifying 7(v + -9) = -6v + -11 Reorder the terms: 7(-9 + v) = -6v + -11 (-9 * 7 + v * 7) = -6v + -11 (-63 + 7v) = -6v + -11 Reorder the terms: -63 + 7v = -11 + -6v Solving -63 + 7v = -11 + -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. -63 + 7v + 6v = -11 + -6v + 6v Combine like terms: 7v + 6v = 13v -63 + 13v = -11 + -6v + 6v Combine like terms: -6v + 6v = 0 -63 + 13v = -11 + 0 -63 + 13v = -11 Add '63' to each side of the equation. -63 + 63 + 13v = -11 + 63 Combine like terms: -63 + 63 = 0 0 + 13v = -11 + 63 13v = -11 + 63 Combine like terms: -11 + 63 = 52 13v = 52 Divide each side by '13'. v = 4 Simplifying v = 4
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