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Simplifying -1(1 + 5v) = -2(-4v + 7) (1 * -1 + 5v * -1) = -2(-4v + 7) (-1 + -5v) = -2(-4v + 7) Reorder the terms: -1 + -5v = -2(7 + -4v) -1 + -5v = (7 * -2 + -4v * -2) -1 + -5v = (-14 + 8v) Solving -1 + -5v = -14 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -1 + -5v + -8v = -14 + 8v + -8v Combine like terms: -5v + -8v = -13v -1 + -13v = -14 + 8v + -8v Combine like terms: 8v + -8v = 0 -1 + -13v = -14 + 0 -1 + -13v = -14 Add '1' to each side of the equation. -1 + 1 + -13v = -14 + 1 Combine like terms: -1 + 1 = 0 0 + -13v = -14 + 1 -13v = -14 + 1 Combine like terms: -14 + 1 = -13 -13v = -13 Divide each side by '-13'. v = 1 Simplifying v = 1
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