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Simplifying -70 = 7(7v + -2) + 7v Reorder the terms: -70 = 7(-2 + 7v) + 7v -70 = (-2 * 7 + 7v * 7) + 7v -70 = (-14 + 49v) + 7v Combine like terms: 49v + 7v = 56v -70 = -14 + 56v Solving -70 = -14 + 56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56v' to each side of the equation. -70 + -56v = -14 + 56v + -56v Combine like terms: 56v + -56v = 0 -70 + -56v = -14 + 0 -70 + -56v = -14 Add '70' to each side of the equation. -70 + 70 + -56v = -14 + 70 Combine like terms: -70 + 70 = 0 0 + -56v = -14 + 70 -56v = -14 + 70 Combine like terms: -14 + 70 = 56 -56v = 56 Divide each side by '-56'. v = -1 Simplifying v = -1
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