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Simplifying 6(v + -4) + -4 = -5(-5v + 2) + -9v Reorder the terms: 6(-4 + v) + -4 = -5(-5v + 2) + -9v (-4 * 6 + v * 6) + -4 = -5(-5v + 2) + -9v (-24 + 6v) + -4 = -5(-5v + 2) + -9v Reorder the terms: -24 + -4 + 6v = -5(-5v + 2) + -9v Combine like terms: -24 + -4 = -28 -28 + 6v = -5(-5v + 2) + -9v Reorder the terms: -28 + 6v = -5(2 + -5v) + -9v -28 + 6v = (2 * -5 + -5v * -5) + -9v -28 + 6v = (-10 + 25v) + -9v Combine like terms: 25v + -9v = 16v -28 + 6v = -10 + 16v Solving -28 + 6v = -10 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. -28 + 6v + -16v = -10 + 16v + -16v Combine like terms: 6v + -16v = -10v -28 + -10v = -10 + 16v + -16v Combine like terms: 16v + -16v = 0 -28 + -10v = -10 + 0 -28 + -10v = -10 Add '28' to each side of the equation. -28 + 28 + -10v = -10 + 28 Combine like terms: -28 + 28 = 0 0 + -10v = -10 + 28 -10v = -10 + 28 Combine like terms: -10 + 28 = 18 -10v = 18 Divide each side by '-10'. v = -1.8 Simplifying v = -1.8
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