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Simplifying -9 + -7(1 + -4v) = -464 -9 + (1 * -7 + -4v * -7) = -464 -9 + (-7 + 28v) = -464 Combine like terms: -9 + -7 = -16 -16 + 28v = -464 Solving -16 + 28v = -464 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 28v = -464 + 16 Combine like terms: -16 + 16 = 0 0 + 28v = -464 + 16 28v = -464 + 16 Combine like terms: -464 + 16 = -448 28v = -448 Divide each side by '28'. v = -16 Simplifying v = -16
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