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Simplifying -6(-3 + 3) + -5v = 5(v + -3) + -7 Combine like terms: -3 + 3 = 0 -6(0) + -5v = 5(v + -3) + -7 Multiply -6 * 0 0 + -5v = 5(v + -3) + -7 Anything times zero is zero. 0 + -5v = 5(v + -3) + -7 Remove the zero: -5v = 5(v + -3) + -7 Reorder the terms: -5v = 5(-3 + v) + -7 -5v = (-3 * 5 + v * 5) + -7 -5v = (-15 + 5v) + -7 Reorder the terms: -5v = -15 + -7 + 5v Combine like terms: -15 + -7 = -22 -5v = -22 + 5v Solving -5v = -22 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -5v + -5v = -22 + 5v + -5v Combine like terms: -5v + -5v = -10v -10v = -22 + 5v + -5v Combine like terms: 5v + -5v = 0 -10v = -22 + 0 -10v = -22 Divide each side by '-10'. v = 2.2 Simplifying v = 2.2
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