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Simplifying 3(7v + 7) + -8(7v + 2) = 5 Reorder the terms: 3(7 + 7v) + -8(7v + 2) = 5 (7 * 3 + 7v * 3) + -8(7v + 2) = 5 (21 + 21v) + -8(7v + 2) = 5 Reorder the terms: 21 + 21v + -8(2 + 7v) = 5 21 + 21v + (2 * -8 + 7v * -8) = 5 21 + 21v + (-16 + -56v) = 5 Reorder the terms: 21 + -16 + 21v + -56v = 5 Combine like terms: 21 + -16 = 5 5 + 21v + -56v = 5 Combine like terms: 21v + -56v = -35v 5 + -35v = 5 Add '-5' to each side of the equation. 5 + -5 + -35v = 5 + -5 Combine like terms: 5 + -5 = 0 0 + -35v = 5 + -5 -35v = 5 + -5 Combine like terms: 5 + -5 = 0 -35v = 0 Solving -35v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '-35'. v = 0 Simplifying v = 0
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