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Simplifying 6(v + 6) + -3(-4 + 3v) = v + -7v Reorder the terms: 6(6 + v) + -3(-4 + 3v) = v + -7v (6 * 6 + v * 6) + -3(-4 + 3v) = v + -7v (36 + 6v) + -3(-4 + 3v) = v + -7v 36 + 6v + (-4 * -3 + 3v * -3) = v + -7v 36 + 6v + (12 + -9v) = v + -7v Reorder the terms: 36 + 12 + 6v + -9v = v + -7v Combine like terms: 36 + 12 = 48 48 + 6v + -9v = v + -7v Combine like terms: 6v + -9v = -3v 48 + -3v = v + -7v Combine like terms: v + -7v = -6v 48 + -3v = -6v Solving 48 + -3v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 48 + -3v + 6v = -6v + 6v Combine like terms: -3v + 6v = 3v 48 + 3v = -6v + 6v Combine like terms: -6v + 6v = 0 48 + 3v = 0 Add '-48' to each side of the equation. 48 + -48 + 3v = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 3v = 0 + -48 3v = 0 + -48 Combine like terms: 0 + -48 = -48 3v = -48 Divide each side by '3'. v = -16 Simplifying v = -16
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