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Simplifying -7 + 4(1 + 8v) = 35 -7 + (1 * 4 + 8v * 4) = 35 -7 + (4 + 32v) = 35 Combine like terms: -7 + 4 = -3 -3 + 32v = 35 Solving -3 + 32v = 35 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 32v = 35 + 3 Combine like terms: -3 + 3 = 0 0 + 32v = 35 + 3 32v = 35 + 3 Combine like terms: 35 + 3 = 38 32v = 38 Divide each side by '32'. v = 1.1875 Simplifying v = 1.1875
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