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Simplifying v + 3(v + -3) = 7(v + -3) Reorder the terms: v + 3(-3 + v) = 7(v + -3) v + (-3 * 3 + v * 3) = 7(v + -3) v + (-9 + 3v) = 7(v + -3) Reorder the terms: -9 + v + 3v = 7(v + -3) Combine like terms: v + 3v = 4v -9 + 4v = 7(v + -3) Reorder the terms: -9 + 4v = 7(-3 + v) -9 + 4v = (-3 * 7 + v * 7) -9 + 4v = (-21 + 7v) Solving -9 + 4v = -21 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -9 + 4v + -7v = -21 + 7v + -7v Combine like terms: 4v + -7v = -3v -9 + -3v = -21 + 7v + -7v Combine like terms: 7v + -7v = 0 -9 + -3v = -21 + 0 -9 + -3v = -21 Add '9' to each side of the equation. -9 + 9 + -3v = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -3v = -21 + 9 -3v = -21 + 9 Combine like terms: -21 + 9 = -12 -3v = -12 Divide each side by '-3'. v = 4 Simplifying v = 4
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