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Simplifying -7(v + -9) = 7v + -35 Reorder the terms: -7(-9 + v) = 7v + -35 (-9 * -7 + v * -7) = 7v + -35 (63 + -7v) = 7v + -35 Reorder the terms: 63 + -7v = -35 + 7v Solving 63 + -7v = -35 + 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 = -35 + 7v + -7v Combine like terms: -7v + -7v = -14v 63 + -14v = -35 + 7v + -7v Combine like terms: 7v + -7v = 0 63 + -14v = -35 + 0 63 + -14v = -35 Add '-63' to each side of the equation. 63 + -63 + -14v = -35 + -63 Combine like terms: 63 + -63 = 0 0 + -14v = -35 + -63 -14v = -35 + -63 Combine like terms: -35 + -63 = -98 -14v = -98 Divide each side by '-14'. v = 7 Simplifying v = 7
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