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Simplifying -7(v + 6) = -84 Reorder the terms: -7(6 + v) = -84 (6 * -7 + v * -7) = -84 (-42 + -7v) = -84 Solving -42 + -7v = -84 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 = -84 + 42 Combine like terms: -42 + 42 = 0 0 + -7v = -84 + 42 -7v = -84 + 42 Combine like terms: -84 + 42 = -42 -7v = -42 Divide each side by '-7'. v = 6 Simplifying v = 6
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