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Simplifying 10 = 3(v + -6) + 1 Reorder the terms: 10 = 3(-6 + v) + 1 10 = (-6 * 3 + v * 3) + 1 10 = (-18 + 3v) + 1 Reorder the terms: 10 = -18 + 1 + 3v Combine like terms: -18 + 1 = -17 10 = -17 + 3v Solving 10 = -17 + 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 = -17 + 3v + -3v Combine like terms: 3v + -3v = 0 10 + -3v = -17 + 0 10 + -3v = -17 Add '-10' to each side of the equation. 10 + -10 + -3v = -17 + -10 Combine like terms: 10 + -10 = 0 0 + -3v = -17 + -10 -3v = -17 + -10 Combine like terms: -17 + -10 = -27 -3v = -27 Divide each side by '-3'. v = 9 Simplifying v = 9
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