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Simplifying -2 + -7(6v + 16) = 82 + -14 Reorder the terms: -2 + -7(16 + 6v) = 82 + -14 -2 + (16 * -7 + 6v * -7) = 82 + -14 -2 + (-112 + -42v) = 82 + -14 Combine like terms: -2 + -112 = -114 -114 + -42v = 82 + -14 Combine like terms: 82 + -14 = 68 -114 + -42v = 68 Solving -114 + -42v = 68 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '114' to each side of the equation. -114 + 114 + -42v = 68 + 114 Combine like terms: -114 + 114 = 0 0 + -42v = 68 + 114 -42v = 68 + 114 Combine like terms: 68 + 114 = 182 -42v = 182 Divide each side by '-42'. v = -4.333333333 Simplifying v = -4.333333333
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