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Simplifying -7(v + 6) = -77 Reorder the terms: -7(6 + v) = -77 (6 * -7 + v * -7) = -77 (-42 + -7v) = -77 Solving -42 + -7v = -77 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -7v = -77 + 42 Combine like terms: -42 + 42 = 0 0 + -7v = -77 + 42 -7v = -77 + 42 Combine like terms: -77 + 42 = -35 -7v = -35 Divide each side by '-7'. v = 5 Simplifying v = 5
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