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Simplifying -4v + -5(2v + -3) = 28 + -1v Reorder the terms: -4v + -5(-3 + 2v) = 28 + -1v -4v + (-3 * -5 + 2v * -5) = 28 + -1v -4v + (15 + -10v) = 28 + -1v Reorder the terms: 15 + -4v + -10v = 28 + -1v Combine like terms: -4v + -10v = -14v 15 + -14v = 28 + -1v Solving 15 + -14v = 28 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 15 + -14v + v = 28 + -1v + v Combine like terms: -14v + v = -13v 15 + -13v = 28 + -1v + v Combine like terms: -1v + v = 0 15 + -13v = 28 + 0 15 + -13v = 28 Add '-15' to each side of the equation. 15 + -15 + -13v = 28 + -15 Combine like terms: 15 + -15 = 0 0 + -13v = 28 + -15 -13v = 28 + -15 Combine like terms: 28 + -15 = 13 -13v = 13 Divide each side by '-13'. v = -1 Simplifying v = -1
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