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Simplifying -3(-5v + 7) + 7 = -5 + 3(1 + v) Reorder the terms: -3(7 + -5v) + 7 = -5 + 3(1 + v) (7 * -3 + -5v * -3) + 7 = -5 + 3(1 + v) (-21 + 15v) + 7 = -5 + 3(1 + v) Reorder the terms: -21 + 7 + 15v = -5 + 3(1 + v) Combine like terms: -21 + 7 = -14 -14 + 15v = -5 + 3(1 + v) -14 + 15v = -5 + (1 * 3 + v * 3) -14 + 15v = -5 + (3 + 3v) Combine like terms: -5 + 3 = -2 -14 + 15v = -2 + 3v Solving -14 + 15v = -2 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -14 + 15v + -3v = -2 + 3v + -3v Combine like terms: 15v + -3v = 12v -14 + 12v = -2 + 3v + -3v Combine like terms: 3v + -3v = 0 -14 + 12v = -2 + 0 -14 + 12v = -2 Add '14' to each side of the equation. -14 + 14 + 12v = -2 + 14 Combine like terms: -14 + 14 = 0 0 + 12v = -2 + 14 12v = -2 + 14 Combine like terms: -2 + 14 = 12 12v = 12 Divide each side by '12'. v = 1 Simplifying v = 1
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