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Simplifying 3(v + 7) + -3(-4v + -1) = -66 Reorder the terms: 3(7 + v) + -3(-4v + -1) = -66 (7 * 3 + v * 3) + -3(-4v + -1) = -66 (21 + 3v) + -3(-4v + -1) = -66 Reorder the terms: 21 + 3v + -3(-1 + -4v) = -66 21 + 3v + (-1 * -3 + -4v * -3) = -66 21 + 3v + (3 + 12v) = -66 Reorder the terms: 21 + 3 + 3v + 12v = -66 Combine like terms: 21 + 3 = 24 24 + 3v + 12v = -66 Combine like terms: 3v + 12v = 15v 24 + 15v = -66 Solving 24 + 15v = -66 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 15v = -66 + -24 Combine like terms: 24 + -24 = 0 0 + 15v = -66 + -24 15v = -66 + -24 Combine like terms: -66 + -24 = -90 15v = -90 Divide each side by '15'. v = -6 Simplifying v = -6
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