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Simplifying -8(v + 3) + 4v + 7 = 6v + 7 Reorder the terms: -8(3 + v) + 4v + 7 = 6v + 7 (3 * -8 + v * -8) + 4v + 7 = 6v + 7 (-24 + -8v) + 4v + 7 = 6v + 7 Reorder the terms: -24 + 7 + -8v + 4v = 6v + 7 Combine like terms: -24 + 7 = -17 -17 + -8v + 4v = 6v + 7 Combine like terms: -8v + 4v = -4v -17 + -4v = 6v + 7 Reorder the terms: -17 + -4v = 7 + 6v Solving -17 + -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. -17 + -4v + -6v = 7 + 6v + -6v Combine like terms: -4v + -6v = -10v -17 + -10v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -17 + -10v = 7 + 0 -17 + -10v = 7 Add '17' to each side of the equation. -17 + 17 + -10v = 7 + 17 Combine like terms: -17 + 17 = 0 0 + -10v = 7 + 17 -10v = 7 + 17 Combine like terms: 7 + 17 = 24 -10v = 24 Divide each side by '-10'. v = -2.4 Simplifying v = -2.4
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