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Simplifying -7(-2v + 4) + -4v = 6(v + -2) + -6 Reorder the terms: -7(4 + -2v) + -4v = 6(v + -2) + -6 (4 * -7 + -2v * -7) + -4v = 6(v + -2) + -6 (-28 + 14v) + -4v = 6(v + -2) + -6 Combine like terms: 14v + -4v = 10v -28 + 10v = 6(v + -2) + -6 Reorder the terms: -28 + 10v = 6(-2 + v) + -6 -28 + 10v = (-2 * 6 + v * 6) + -6 -28 + 10v = (-12 + 6v) + -6 Reorder the terms: -28 + 10v = -12 + -6 + 6v Combine like terms: -12 + -6 = -18 -28 + 10v = -18 + 6v Solving -28 + 10v = -18 + 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. -28 + 10v + -6v = -18 + 6v + -6v Combine like terms: 10v + -6v = 4v -28 + 4v = -18 + 6v + -6v Combine like terms: 6v + -6v = 0 -28 + 4v = -18 + 0 -28 + 4v = -18 Add '28' to each side of the equation. -28 + 28 + 4v = -18 + 28 Combine like terms: -28 + 28 = 0 0 + 4v = -18 + 28 4v = -18 + 28 Combine like terms: -18 + 28 = 10 4v = 10 Divide each side by '4'. v = 2.5 Simplifying v = 2.5
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