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Simplifying [4v + -3] = [6v + -15] Reorder the terms: [-3 + 4v] = [6v + -15] Remove brackets around [-3 + 4v] -3 + 4v = [6v + -15] Reorder the terms: -3 + 4v = [-15 + 6v] Remove brackets around [-15 + 6v] -3 + 4v = -15 + 6v Solving -3 + 4v = -15 + 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. -3 + 4v + -6v = -15 + 6v + -6v Combine like terms: 4v + -6v = -2v -3 + -2v = -15 + 6v + -6v Combine like terms: 6v + -6v = 0 -3 + -2v = -15 + 0 -3 + -2v = -15 Add '3' to each side of the equation. -3 + 3 + -2v = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -2v = -15 + 3 -2v = -15 + 3 Combine like terms: -15 + 3 = -12 -2v = -12 Divide each side by '-2'. v = 6 Simplifying v = 6
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