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Simplifying -3(2v + -5) + -7(6v + -3) = -10v + -2v Reorder the terms: -3(-5 + 2v) + -7(6v + -3) = -10v + -2v (-5 * -3 + 2v * -3) + -7(6v + -3) = -10v + -2v (15 + -6v) + -7(6v + -3) = -10v + -2v Reorder the terms: 15 + -6v + -7(-3 + 6v) = -10v + -2v 15 + -6v + (-3 * -7 + 6v * -7) = -10v + -2v 15 + -6v + (21 + -42v) = -10v + -2v Reorder the terms: 15 + 21 + -6v + -42v = -10v + -2v Combine like terms: 15 + 21 = 36 36 + -6v + -42v = -10v + -2v Combine like terms: -6v + -42v = -48v 36 + -48v = -10v + -2v Combine like terms: -10v + -2v = -12v 36 + -48v = -12v Solving 36 + -48v = -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 36 + -48v + 12v = -12v + 12v Combine like terms: -48v + 12v = -36v 36 + -36v = -12v + 12v Combine like terms: -12v + 12v = 0 36 + -36v = 0 Add '-36' to each side of the equation. 36 + -36 + -36v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -36v = 0 + -36 -36v = 0 + -36 Combine like terms: 0 + -36 = -36 -36v = -36 Divide each side by '-36'. v = 1 Simplifying v = 1
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