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Simplifying 7(v + -4) = -84 Reorder the terms: 7(-4 + v) = -84 (-4 * 7 + v * 7) = -84 (-28 + 7v) = -84 Solving -28 + 7v = -84 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 7v = -84 + 28 Combine like terms: -28 + 28 = 0 0 + 7v = -84 + 28 7v = -84 + 28 Combine like terms: -84 + 28 = -56 7v = -56 Divide each side by '7'. v = -8 Simplifying v = -8
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