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Simplifying 6(-4v + 4) + 6(v + 4) = -6 Reorder the terms: 6(4 + -4v) + 6(v + 4) = -6 (4 * 6 + -4v * 6) + 6(v + 4) = -6 (24 + -24v) + 6(v + 4) = -6 Reorder the terms: 24 + -24v + 6(4 + v) = -6 24 + -24v + (4 * 6 + v * 6) = -6 24 + -24v + (24 + 6v) = -6 Reorder the terms: 24 + 24 + -24v + 6v = -6 Combine like terms: 24 + 24 = 48 48 + -24v + 6v = -6 Combine like terms: -24v + 6v = -18v 48 + -18v = -6 Solving 48 + -18v = -6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -18v = -6 + -48 Combine like terms: 48 + -48 = 0 0 + -18v = -6 + -48 -18v = -6 + -48 Combine like terms: -6 + -48 = -54 -18v = -54 Divide each side by '-18'. v = 3 Simplifying v = 3
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