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Simplifying -8(v + 4) + 4v + 6 = 6v + 7 Reorder the terms: -8(4 + v) + 4v + 6 = 6v + 7 (4 * -8 + v * -8) + 4v + 6 = 6v + 7 (-32 + -8v) + 4v + 6 = 6v + 7 Reorder the terms: -32 + 6 + -8v + 4v = 6v + 7 Combine like terms: -32 + 6 = -26 -26 + -8v + 4v = 6v + 7 Combine like terms: -8v + 4v = -4v -26 + -4v = 6v + 7 Reorder the terms: -26 + -4v = 7 + 6v Solving -26 + -4v = 7 + 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. -26 + -4v + -6v = 7 + 6v + -6v Combine like terms: -4v + -6v = -10v -26 + -10v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -26 + -10v = 7 + 0 -26 + -10v = 7 Add '26' to each side of the equation. -26 + 26 + -10v = 7 + 26 Combine like terms: -26 + 26 = 0 0 + -10v = 7 + 26 -10v = 7 + 26 Combine like terms: 7 + 26 = 33 -10v = 33 Divide each side by '-10'. v = -3.3 Simplifying v = -3.3
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