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Simplifying -7(v + 3) + 3v + 7 = 6v + 12 Reorder the terms: -7(3 + v) + 3v + 7 = 6v + 12 (3 * -7 + v * -7) + 3v + 7 = 6v + 12 (-21 + -7v) + 3v + 7 = 6v + 12 Reorder the terms: -21 + 7 + -7v + 3v = 6v + 12 Combine like terms: -21 + 7 = -14 -14 + -7v + 3v = 6v + 12 Combine like terms: -7v + 3v = -4v -14 + -4v = 6v + 12 Reorder the terms: -14 + -4v = 12 + 6v Solving -14 + -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. -14 + -4v + -6v = 12 + 6v + -6v Combine like terms: -4v + -6v = -10v -14 + -10v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -14 + -10v = 12 + 0 -14 + -10v = 12 Add '14' to each side of the equation. -14 + 14 + -10v = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -10v = 12 + 14 -10v = 12 + 14 Combine like terms: 12 + 14 = 26 -10v = 26 Divide each side by '-10'. v = -2.6 Simplifying v = -2.6
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