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Simplifying -1(7v + -3) = v + -11 Reorder the terms: -1(-3 + 7v) = v + -11 (-3 * -1 + 7v * -1) = v + -11 (3 + -7v) = v + -11 Reorder the terms: 3 + -7v = -11 + v Solving 3 + -7v = -11 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 3 + -7v + -1v = -11 + v + -1v Combine like terms: -7v + -1v = -8v 3 + -8v = -11 + v + -1v Combine like terms: v + -1v = 0 3 + -8v = -11 + 0 3 + -8v = -11 Add '-3' to each side of the equation. 3 + -3 + -8v = -11 + -3 Combine like terms: 3 + -3 = 0 0 + -8v = -11 + -3 -8v = -11 + -3 Combine like terms: -11 + -3 = -14 -8v = -14 Divide each side by '-8'. v = 1.75 Simplifying v = 1.75
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