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Simplifying 7(8v + 7) + -5(6v + -8) = 245 Reorder the terms: 7(7 + 8v) + -5(6v + -8) = 245 (7 * 7 + 8v * 7) + -5(6v + -8) = 245 (49 + 56v) + -5(6v + -8) = 245 Reorder the terms: 49 + 56v + -5(-8 + 6v) = 245 49 + 56v + (-8 * -5 + 6v * -5) = 245 49 + 56v + (40 + -30v) = 245 Reorder the terms: 49 + 40 + 56v + -30v = 245 Combine like terms: 49 + 40 = 89 89 + 56v + -30v = 245 Combine like terms: 56v + -30v = 26v 89 + 26v = 245 Solving 89 + 26v = 245 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 26v = 245 + -89 Combine like terms: 89 + -89 = 0 0 + 26v = 245 + -89 26v = 245 + -89 Combine like terms: 245 + -89 = 156 26v = 156 Divide each side by '26'. v = 6 Simplifying v = 6
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