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Simplifying -1v + -4(v + -9) = 21 Reorder the terms: -1v + -4(-9 + v) = 21 -1v + (-9 * -4 + v * -4) = 21 -1v + (36 + -4v) = 21 Reorder the terms: 36 + -1v + -4v = 21 Combine like terms: -1v + -4v = -5v 36 + -5v = 21 Solving 36 + -5v = 21 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -5v = 21 + -36 Combine like terms: 36 + -36 = 0 0 + -5v = 21 + -36 -5v = 21 + -36 Combine like terms: 21 + -36 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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