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Simplifying -3(v + 2) = 4(v + 6) + 7 Reorder the terms: -3(2 + v) = 4(v + 6) + 7 (2 * -3 + v * -3) = 4(v + 6) + 7 (-6 + -3v) = 4(v + 6) + 7 Reorder the terms: -6 + -3v = 4(6 + v) + 7 -6 + -3v = (6 * 4 + v * 4) + 7 -6 + -3v = (24 + 4v) + 7 Reorder the terms: -6 + -3v = 24 + 7 + 4v Combine like terms: 24 + 7 = 31 -6 + -3v = 31 + 4v Solving -6 + -3v = 31 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -6 + -3v + -4v = 31 + 4v + -4v Combine like terms: -3v + -4v = -7v -6 + -7v = 31 + 4v + -4v Combine like terms: 4v + -4v = 0 -6 + -7v = 31 + 0 -6 + -7v = 31 Add '6' to each side of the equation. -6 + 6 + -7v = 31 + 6 Combine like terms: -6 + 6 = 0 0 + -7v = 31 + 6 -7v = 31 + 6 Combine like terms: 31 + 6 = 37 -7v = 37 Divide each side by '-7'. v = -5.285714286 Simplifying v = -5.285714286
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