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Simplifying 7(1 + -8v) + -3(4 + 6v) = -5 (1 * 7 + -8v * 7) + -3(4 + 6v) = -5 (7 + -56v) + -3(4 + 6v) = -5 7 + -56v + (4 * -3 + 6v * -3) = -5 7 + -56v + (-12 + -18v) = -5 Reorder the terms: 7 + -12 + -56v + -18v = -5 Combine like terms: 7 + -12 = -5 -5 + -56v + -18v = -5 Combine like terms: -56v + -18v = -74v -5 + -74v = -5 Add '5' to each side of the equation. -5 + 5 + -74v = -5 + 5 Combine like terms: -5 + 5 = 0 0 + -74v = -5 + 5 -74v = -5 + 5 Combine like terms: -5 + 5 = 0 -74v = 0 Solving -74v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '-74'. v = 0 Simplifying v = 0
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