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Simplifying -7(6v + 5) + -3 = -122 Reorder the terms: -7(5 + 6v) + -3 = -122 (5 * -7 + 6v * -7) + -3 = -122 (-35 + -42v) + -3 = -122 Reorder the terms: -35 + -3 + -42v = -122 Combine like terms: -35 + -3 = -38 -38 + -42v = -122 Solving -38 + -42v = -122 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -42v = -122 + 38 Combine like terms: -38 + 38 = 0 0 + -42v = -122 + 38 -42v = -122 + 38 Combine like terms: -122 + 38 = -84 -42v = -84 Divide each side by '-42'. v = 2 Simplifying v = 2
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