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Simplifying -17 + -8(19v + 20) = -9(20v + 1) Reorder the terms: -17 + -8(20 + 19v) = -9(20v + 1) -17 + (20 * -8 + 19v * -8) = -9(20v + 1) -17 + (-160 + -152v) = -9(20v + 1) Combine like terms: -17 + -160 = -177 -177 + -152v = -9(20v + 1) Reorder the terms: -177 + -152v = -9(1 + 20v) -177 + -152v = (1 * -9 + 20v * -9) -177 + -152v = (-9 + -180v) Solving -177 + -152v = -9 + -180v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '180v' to each side of the equation. -177 + -152v + 180v = -9 + -180v + 180v Combine like terms: -152v + 180v = 28v -177 + 28v = -9 + -180v + 180v Combine like terms: -180v + 180v = 0 -177 + 28v = -9 + 0 -177 + 28v = -9 Add '177' to each side of the equation. -177 + 177 + 28v = -9 + 177 Combine like terms: -177 + 177 = 0 0 + 28v = -9 + 177 28v = -9 + 177 Combine like terms: -9 + 177 = 168 28v = 168 Divide each side by '28'. v = 6 Simplifying v = 6
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