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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 = 9 9 + 56v + 30v = 245 Combine like terms: 56v + 30v = 86v 9 + 86v = 245 Solving 9 + 86v = 245 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 86v = 245 + -9 Combine like terms: 9 + -9 = 0 0 + 86v = 245 + -9 86v = 245 + -9 Combine like terms: 245 + -9 = 236 86v = 236 Divide each side by '86'. v = 2.744186047 Simplifying v = 2.744186047
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