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Simplifying 4v + -12 + -10 = -5(v + 9) + -1(v + -6) Reorder the terms: -12 + -10 + 4v = -5(v + 9) + -1(v + -6) Combine like terms: -12 + -10 = -22 -22 + 4v = -5(v + 9) + -1(v + -6) Reorder the terms: -22 + 4v = -5(9 + v) + -1(v + -6) -22 + 4v = (9 * -5 + v * -5) + -1(v + -6) -22 + 4v = (-45 + -5v) + -1(v + -6) Reorder the terms: -22 + 4v = -45 + -5v + -1(-6 + v) -22 + 4v = -45 + -5v + (-6 * -1 + v * -1) -22 + 4v = -45 + -5v + (6 + -1v) Reorder the terms: -22 + 4v = -45 + 6 + -5v + -1v Combine like terms: -45 + 6 = -39 -22 + 4v = -39 + -5v + -1v Combine like terms: -5v + -1v = -6v -22 + 4v = -39 + -6v Solving -22 + 4v = -39 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -22 + 4v + 6v = -39 + -6v + 6v Combine like terms: 4v + 6v = 10v -22 + 10v = -39 + -6v + 6v Combine like terms: -6v + 6v = 0 -22 + 10v = -39 + 0 -22 + 10v = -39 Add '22' to each side of the equation. -22 + 22 + 10v = -39 + 22 Combine like terms: -22 + 22 = 0 0 + 10v = -39 + 22 10v = -39 + 22 Combine like terms: -39 + 22 = -17 10v = -17 Divide each side by '10'. v = -1.7 Simplifying v = -1.7
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