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Simplifying 4(6v + 2) + -6(5v + 8) = -10 Reorder the terms: 4(2 + 6v) + -6(5v + 8) = -10 (2 * 4 + 6v * 4) + -6(5v + 8) = -10 (8 + 24v) + -6(5v + 8) = -10 Reorder the terms: 8 + 24v + -6(8 + 5v) = -10 8 + 24v + (8 * -6 + 5v * -6) = -10 8 + 24v + (-48 + -30v) = -10 Reorder the terms: 8 + -48 + 24v + -30v = -10 Combine like terms: 8 + -48 = -40 -40 + 24v + -30v = -10 Combine like terms: 24v + -30v = -6v -40 + -6v = -10 Solving -40 + -6v = -10 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -6v = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -6v = -10 + 40 -6v = -10 + 40 Combine like terms: -10 + 40 = 30 -6v = 30 Divide each side by '-6'. v = -5 Simplifying v = -5
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