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Simplifying 6(-3v + -20) + -10v = 13 + 6v + 3 Reorder the terms: 6(-20 + -3v) + -10v = 13 + 6v + 3 (-20 * 6 + -3v * 6) + -10v = 13 + 6v + 3 (-120 + -18v) + -10v = 13 + 6v + 3 Combine like terms: -18v + -10v = -28v -120 + -28v = 13 + 6v + 3 Reorder the terms: -120 + -28v = 13 + 3 + 6v Combine like terms: 13 + 3 = 16 -120 + -28v = 16 + 6v Solving -120 + -28v = 16 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -120 + -28v + -6v = 16 + 6v + -6v Combine like terms: -28v + -6v = -34v -120 + -34v = 16 + 6v + -6v Combine like terms: 6v + -6v = 0 -120 + -34v = 16 + 0 -120 + -34v = 16 Add '120' to each side of the equation. -120 + 120 + -34v = 16 + 120 Combine like terms: -120 + 120 = 0 0 + -34v = 16 + 120 -34v = 16 + 120 Combine like terms: 16 + 120 = 136 -34v = 136 Divide each side by '-34'. v = -4 Simplifying v = -4
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