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Simplifying 2(4v + -18) + -6v = 3(2v + -40) Reorder the terms: 2(-18 + 4v) + -6v = 3(2v + -40) (-18 * 2 + 4v * 2) + -6v = 3(2v + -40) (-36 + 8v) + -6v = 3(2v + -40) Combine like terms: 8v + -6v = 2v -36 + 2v = 3(2v + -40) Reorder the terms: -36 + 2v = 3(-40 + 2v) -36 + 2v = (-40 * 3 + 2v * 3) -36 + 2v = (-120 + 6v) Solving -36 + 2v = -120 + 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. -36 + 2v + -6v = -120 + 6v + -6v Combine like terms: 2v + -6v = -4v -36 + -4v = -120 + 6v + -6v Combine like terms: 6v + -6v = 0 -36 + -4v = -120 + 0 -36 + -4v = -120 Add '36' to each side of the equation. -36 + 36 + -4v = -120 + 36 Combine like terms: -36 + 36 = 0 0 + -4v = -120 + 36 -4v = -120 + 36 Combine like terms: -120 + 36 = -84 -4v = -84 Divide each side by '-4'. v = 21 Simplifying v = 21
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