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Simplifying 10 = -4v + 7(v + -2) Reorder the terms: 10 = -4v + 7(-2 + v) 10 = -4v + (-2 * 7 + v * 7) 10 = -4v + (-14 + 7v) Reorder the terms: 10 = -14 + -4v + 7v Combine like terms: -4v + 7v = 3v 10 = -14 + 3v Solving 10 = -14 + 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 = -14 + 3v + -3v Combine like terms: 3v + -3v = 0 10 + -3v = -14 + 0 10 + -3v = -14 Add '-10' to each side of the equation. 10 + -10 + -3v = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -3v = -14 + -10 -3v = -14 + -10 Combine like terms: -14 + -10 = -24 -3v = -24 Divide each side by '-3'. v = 8 Simplifying v = 8
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