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Simplifying -7(v + 4) + 2v + 6 = 5v + 6 Reorder the terms: -7(4 + v) + 2v + 6 = 5v + 6 (4 * -7 + v * -7) + 2v + 6 = 5v + 6 (-28 + -7v) + 2v + 6 = 5v + 6 Reorder the terms: -28 + 6 + -7v + 2v = 5v + 6 Combine like terms: -28 + 6 = -22 -22 + -7v + 2v = 5v + 6 Combine like terms: -7v + 2v = -5v -22 + -5v = 5v + 6 Reorder the terms: -22 + -5v = 6 + 5v Solving -22 + -5v = 6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -22 + -5v + -5v = 6 + 5v + -5v Combine like terms: -5v + -5v = -10v -22 + -10v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -22 + -10v = 6 + 0 -22 + -10v = 6 Add '22' to each side of the equation. -22 + 22 + -10v = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -10v = 6 + 22 -10v = 6 + 22 Combine like terms: 6 + 22 = 28 -10v = 28 Divide each side by '-10'. v = -2.8 Simplifying v = -2.8
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