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Simplifying -7(v + 9) = 3v + 37 Reorder the terms: -7(9 + v) = 3v + 37 (9 * -7 + v * -7) = 3v + 37 (-63 + -7v) = 3v + 37 Reorder the terms: -63 + -7v = 37 + 3v Solving -63 + -7v = 37 + 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. -63 + -7v + -3v = 37 + 3v + -3v Combine like terms: -7v + -3v = -10v -63 + -10v = 37 + 3v + -3v Combine like terms: 3v + -3v = 0 -63 + -10v = 37 + 0 -63 + -10v = 37 Add '63' to each side of the equation. -63 + 63 + -10v = 37 + 63 Combine like terms: -63 + 63 = 0 0 + -10v = 37 + 63 -10v = 37 + 63 Combine like terms: 37 + 63 = 100 -10v = 100 Divide each side by '-10'. v = -10 Simplifying v = -10
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