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Simplifying 7(v + 1) + -3 = 3v + -16 Reorder the terms: 7(1 + v) + -3 = 3v + -16 (1 * 7 + v * 7) + -3 = 3v + -16 (7 + 7v) + -3 = 3v + -16 Reorder the terms: 7 + -3 + 7v = 3v + -16 Combine like terms: 7 + -3 = 4 4 + 7v = 3v + -16 Reorder the terms: 4 + 7v = -16 + 3v Solving 4 + 7v = -16 + 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. 4 + 7v + -3v = -16 + 3v + -3v Combine like terms: 7v + -3v = 4v 4 + 4v = -16 + 3v + -3v Combine like terms: 3v + -3v = 0 4 + 4v = -16 + 0 4 + 4v = -16 Add '-4' to each side of the equation. 4 + -4 + 4v = -16 + -4 Combine like terms: 4 + -4 = 0 0 + 4v = -16 + -4 4v = -16 + -4 Combine like terms: -16 + -4 = -20 4v = -20 Divide each side by '4'. v = -5 Simplifying v = -5
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