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