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Simplifying -7(v + 2) + 4v + 6 = 7v + 6 Reorder the terms: -7(2 + v) + 4v + 6 = 7v + 6 (2 * -7 + v * -7) + 4v + 6 = 7v + 6 (-14 + -7v) + 4v + 6 = 7v + 6 Reorder the terms: -14 + 6 + -7v + 4v = 7v + 6 Combine like terms: -14 + 6 = -8 -8 + -7v + 4v = 7v + 6 Combine like terms: -7v + 4v = -3v -8 + -3v = 7v + 6 Reorder the terms: -8 + -3v = 6 + 7v Solving -8 + -3v = 6 + 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. -8 + -3v + -7v = 6 + 7v + -7v Combine like terms: -3v + -7v = -10v -8 + -10v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -8 + -10v = 6 + 0 -8 + -10v = 6 Add '8' to each side of the equation. -8 + 8 + -10v = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -10v = 6 + 8 -10v = 6 + 8 Combine like terms: 6 + 8 = 14 -10v = 14 Divide each side by '-10'. v = -1.4 Simplifying v = -1.4
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