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Simplifying 8(-8 + 7v) + 2(v + -8) = 36 (-8 * 8 + 7v * 8) + 2(v + -8) = 36 (-64 + 56v) + 2(v + -8) = 36 Reorder the terms: -64 + 56v + 2(-8 + v) = 36 -64 + 56v + (-8 * 2 + v * 2) = 36 -64 + 56v + (-16 + 2v) = 36 Reorder the terms: -64 + -16 + 56v + 2v = 36 Combine like terms: -64 + -16 = -80 -80 + 56v + 2v = 36 Combine like terms: 56v + 2v = 58v -80 + 58v = 36 Solving -80 + 58v = 36 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 58v = 36 + 80 Combine like terms: -80 + 80 = 0 0 + 58v = 36 + 80 58v = 36 + 80 Combine like terms: 36 + 80 = 116 58v = 116 Divide each side by '58'. v = 2 Simplifying v = 2
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