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Simplifying -7(v + 8) = 3v + 44 Reorder the terms: -7(8 + v) = 3v + 44 (8 * -7 + v * -7) = 3v + 44 (-56 + -7v) = 3v + 44 Reorder the terms: -56 + -7v = 44 + 3v Solving -56 + -7v = 44 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -56 + -7v + -3v = 44 + 3v + -3v Combine like terms: -7v + -3v = -10v -56 + -10v = 44 + 3v + -3v Combine like terms: 3v + -3v = 0 -56 + -10v = 44 + 0 -56 + -10v = 44 Add '56' to each side of the equation. -56 + 56 + -10v = 44 + 56 Combine like terms: -56 + 56 = 0 0 + -10v = 44 + 56 -10v = 44 + 56 Combine like terms: 44 + 56 = 100 -10v = 100 Divide each side by '-10'. v = -10 Simplifying v = -10
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