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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 = -30 -3v = -30 Divide each side by '-3'. v = 10 Simplifying v = 10
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