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Simplifying -6v + -4(v + -7) = 5v + 2 Reorder the terms: -6v + -4(-7 + v) = 5v + 2 -6v + (-7 * -4 + v * -4) = 5v + 2 -6v + (28 + -4v) = 5v + 2 Reorder the terms: 28 + -6v + -4v = 5v + 2 Combine like terms: -6v + -4v = -10v 28 + -10v = 5v + 2 Reorder the terms: 28 + -10v = 2 + 5v Solving 28 + -10v = 2 + 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. 28 + -10v + -5v = 2 + 5v + -5v Combine like terms: -10v + -5v = -15v 28 + -15v = 2 + 5v + -5v Combine like terms: 5v + -5v = 0 28 + -15v = 2 + 0 28 + -15v = 2 Add '-28' to each side of the equation. 28 + -28 + -15v = 2 + -28 Combine like terms: 28 + -28 = 0 0 + -15v = 2 + -28 -15v = 2 + -28 Combine like terms: 2 + -28 = -26 -15v = -26 Divide each side by '-15'. v = 1.733333333 Simplifying v = 1.733333333
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