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Simplifying 7(v + -3) + -5 = -2(-3v + 6) + -5v Reorder the terms: 7(-3 + v) + -5 = -2(-3v + 6) + -5v (-3 * 7 + v * 7) + -5 = -2(-3v + 6) + -5v (-21 + 7v) + -5 = -2(-3v + 6) + -5v Reorder the terms: -21 + -5 + 7v = -2(-3v + 6) + -5v Combine like terms: -21 + -5 = -26 -26 + 7v = -2(-3v + 6) + -5v Reorder the terms: -26 + 7v = -2(6 + -3v) + -5v -26 + 7v = (6 * -2 + -3v * -2) + -5v -26 + 7v = (-12 + 6v) + -5v Combine like terms: 6v + -5v = 1v -26 + 7v = -12 + 1v Solving -26 + 7v = -12 + 1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -26 + 7v + -1v = -12 + 1v + -1v Combine like terms: 7v + -1v = 6v -26 + 6v = -12 + 1v + -1v Combine like terms: 1v + -1v = 0 -26 + 6v = -12 + 0 -26 + 6v = -12 Add '26' to each side of the equation. -26 + 26 + 6v = -12 + 26 Combine like terms: -26 + 26 = 0 0 + 6v = -12 + 26 6v = -12 + 26 Combine like terms: -12 + 26 = 14 6v = 14 Divide each side by '6'. v = 2.333333333 Simplifying v = 2.333333333
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