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Simplifying 4(v + 1) = 7v + 16 Reorder the terms: 4(1 + v) = 7v + 16 (1 * 4 + v * 4) = 7v + 16 (4 + 4v) = 7v + 16 Reorder the terms: 4 + 4v = 16 + 7v Solving 4 + 4v = 16 + 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. 4 + 4v + -7v = 16 + 7v + -7v Combine like terms: 4v + -7v = -3v 4 + -3v = 16 + 7v + -7v Combine like terms: 7v + -7v = 0 4 + -3v = 16 + 0 4 + -3v = 16 Add '-4' to each side of the equation. 4 + -4 + -3v = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 16 + -4 -3v = 16 + -4 Combine like terms: 16 + -4 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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