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Simplifying -8(v + 2) + 4v + 7 = 6v + 12 Reorder the terms: -8(2 + v) + 4v + 7 = 6v + 12 (2 * -8 + v * -8) + 4v + 7 = 6v + 12 (-16 + -8v) + 4v + 7 = 6v + 12 Reorder the terms: -16 + 7 + -8v + 4v = 6v + 12 Combine like terms: -16 + 7 = -9 -9 + -8v + 4v = 6v + 12 Combine like terms: -8v + 4v = -4v -9 + -4v = 6v + 12 Reorder the terms: -9 + -4v = 12 + 6v Solving -9 + -4v = 12 + 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. -9 + -4v + -6v = 12 + 6v + -6v Combine like terms: -4v + -6v = -10v -9 + -10v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -9 + -10v = 12 + 0 -9 + -10v = 12 Add '9' to each side of the equation. -9 + 9 + -10v = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -10v = 12 + 9 -10v = 12 + 9 Combine like terms: 12 + 9 = 21 -10v = 21 Divide each side by '-10'. v = -2.1 Simplifying v = -2.1
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