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Simplifying 5(v + 6) = -2(4v + -7) + 3v Reorder the terms: 5(6 + v) = -2(4v + -7) + 3v (6 * 5 + v * 5) = -2(4v + -7) + 3v (30 + 5v) = -2(4v + -7) + 3v Reorder the terms: 30 + 5v = -2(-7 + 4v) + 3v 30 + 5v = (-7 * -2 + 4v * -2) + 3v 30 + 5v = (14 + -8v) + 3v Combine like terms: -8v + 3v = -5v 30 + 5v = 14 + -5v Solving 30 + 5v = 14 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 30 + 5v + 5v = 14 + -5v + 5v Combine like terms: 5v + 5v = 10v 30 + 10v = 14 + -5v + 5v Combine like terms: -5v + 5v = 0 30 + 10v = 14 + 0 30 + 10v = 14 Add '-30' to each side of the equation. 30 + -30 + 10v = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 10v = 14 + -30 10v = 14 + -30 Combine like terms: 14 + -30 = -16 10v = -16 Divide each side by '10'. v = -1.6 Simplifying v = -1.6
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