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Simplifying 6 + -7(-3v + -1) = 118 Reorder the terms: 6 + -7(-1 + -3v) = 118 6 + (-1 * -7 + -3v * -7) = 118 6 + (7 + 21v) = 118 Combine like terms: 6 + 7 = 13 13 + 21v = 118 Solving 13 + 21v = 118 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 21v = 118 + -13 Combine like terms: 13 + -13 = 0 0 + 21v = 118 + -13 21v = 118 + -13 Combine like terms: 118 + -13 = 105 21v = 105 Divide each side by '21'. v = 5 Simplifying v = 5
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