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Simplifying -6(v + 4) + 3v + 7 = 7v + 12 Reorder the terms: -6(4 + v) + 3v + 7 = 7v + 12 (4 * -6 + v * -6) + 3v + 7 = 7v + 12 (-24 + -6v) + 3v + 7 = 7v + 12 Reorder the terms: -24 + 7 + -6v + 3v = 7v + 12 Combine like terms: -24 + 7 = -17 -17 + -6v + 3v = 7v + 12 Combine like terms: -6v + 3v = -3v -17 + -3v = 7v + 12 Reorder the terms: -17 + -3v = 12 + 7v Solving -17 + -3v = 12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -17 + -3v + -7v = 12 + 7v + -7v Combine like terms: -3v + -7v = -10v -17 + -10v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -17 + -10v = 12 + 0 -17 + -10v = 12 Add '17' to each side of the equation. -17 + 17 + -10v = 12 + 17 Combine like terms: -17 + 17 = 0 0 + -10v = 12 + 17 -10v = 12 + 17 Combine like terms: 12 + 17 = 29 -10v = 29 Divide each side by '-10'. v = -2.9 Simplifying v = -2.9
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