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Simplifying -10v + -14 = 2(1 + -4v) + -6(v + 2) Reorder the terms: -14 + -10v = 2(1 + -4v) + -6(v + 2) -14 + -10v = (1 * 2 + -4v * 2) + -6(v + 2) -14 + -10v = (2 + -8v) + -6(v + 2) Reorder the terms: -14 + -10v = 2 + -8v + -6(2 + v) -14 + -10v = 2 + -8v + (2 * -6 + v * -6) -14 + -10v = 2 + -8v + (-12 + -6v) Reorder the terms: -14 + -10v = 2 + -12 + -8v + -6v Combine like terms: 2 + -12 = -10 -14 + -10v = -10 + -8v + -6v Combine like terms: -8v + -6v = -14v -14 + -10v = -10 + -14v Solving -14 + -10v = -10 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -14 + -10v + 14v = -10 + -14v + 14v Combine like terms: -10v + 14v = 4v -14 + 4v = -10 + -14v + 14v Combine like terms: -14v + 14v = 0 -14 + 4v = -10 + 0 -14 + 4v = -10 Add '14' to each side of the equation. -14 + 14 + 4v = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 4v = -10 + 14 4v = -10 + 14 Combine like terms: -10 + 14 = 4 4v = 4 Divide each side by '4'. v = 1 Simplifying v = 1
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