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Simplifying 10 = -7v + 4(v + 4) Reorder the terms: 10 = -7v + 4(4 + v) 10 = -7v + (4 * 4 + v * 4) 10 = -7v + (16 + 4v) Reorder the terms: 10 = 16 + -7v + 4v Combine like terms: -7v + 4v = -3v 10 = 16 + -3v Solving 10 = 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. 10 + 3v = 16 + -3v + 3v Combine like terms: -3v + 3v = 0 10 + 3v = 16 + 0 10 + 3v = 16 Add '-10' to each side of the equation. 10 + -10 + 3v = 16 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = 16 + -10 3v = 16 + -10 Combine like terms: 16 + -10 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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