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Simplifying 7(v + -9) = -7v + -49 Reorder the terms: 7(-9 + v) = -7v + -49 (-9 * 7 + v * 7) = -7v + -49 (-63 + 7v) = -7v + -49 Reorder the terms: -63 + 7v = -49 + -7v Solving -63 + 7v = -49 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -63 + 7v + 7v = -49 + -7v + 7v Combine like terms: 7v + 7v = 14v -63 + 14v = -49 + -7v + 7v Combine like terms: -7v + 7v = 0 -63 + 14v = -49 + 0 -63 + 14v = -49 Add '63' to each side of the equation. -63 + 63 + 14v = -49 + 63 Combine like terms: -63 + 63 = 0 0 + 14v = -49 + 63 14v = -49 + 63 Combine like terms: -49 + 63 = 14 14v = 14 Divide each side by '14'. v = 1 Simplifying v = 1
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