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Simplifying -2(5v + -7) = -8(v + 2) Reorder the terms: -2(-7 + 5v) = -8(v + 2) (-7 * -2 + 5v * -2) = -8(v + 2) (14 + -10v) = -8(v + 2) Reorder the terms: 14 + -10v = -8(2 + v) 14 + -10v = (2 * -8 + v * -8) 14 + -10v = (-16 + -8v) Solving 14 + -10v = -16 + -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. 14 + -10v + 8v = -16 + -8v + 8v Combine like terms: -10v + 8v = -2v 14 + -2v = -16 + -8v + 8v Combine like terms: -8v + 8v = 0 14 + -2v = -16 + 0 14 + -2v = -16 Add '-14' to each side of the equation. 14 + -14 + -2v = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -2v = -16 + -14 -2v = -16 + -14 Combine like terms: -16 + -14 = -30 -2v = -30 Divide each side by '-2'. v = 15 Simplifying v = 15
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