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Simplifying -7(v + 4) + 4v + 6 = 7v + 12 Reorder the terms: -7(4 + v) + 4v + 6 = 7v + 12 (4 * -7 + v * -7) + 4v + 6 = 7v + 12 (-28 + -7v) + 4v + 6 = 7v + 12 Reorder the terms: -28 + 6 + -7v + 4v = 7v + 12 Combine like terms: -28 + 6 = -22 -22 + -7v + 4v = 7v + 12 Combine like terms: -7v + 4v = -3v -22 + -3v = 7v + 12 Reorder the terms: -22 + -3v = 12 + 7v Solving -22 + -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. -22 + -3v + -7v = 12 + 7v + -7v Combine like terms: -3v + -7v = -10v -22 + -10v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -22 + -10v = 12 + 0 -22 + -10v = 12 Add '22' to each side of the equation. -22 + 22 + -10v = 12 + 22 Combine like terms: -22 + 22 = 0 0 + -10v = 12 + 22 -10v = 12 + 22 Combine like terms: 12 + 22 = 34 -10v = 34 Divide each side by '-10'. v = -3.4 Simplifying v = -3.4
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