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Simplifying 4v + 26 = -5(2v + 8) + -4 Reorder the terms: 26 + 4v = -5(2v + 8) + -4 Reorder the terms: 26 + 4v = -5(8 + 2v) + -4 26 + 4v = (8 * -5 + 2v * -5) + -4 26 + 4v = (-40 + -10v) + -4 Reorder the terms: 26 + 4v = -40 + -4 + -10v Combine like terms: -40 + -4 = -44 26 + 4v = -44 + -10v Solving 26 + 4v = -44 + -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. 26 + 4v + 10v = -44 + -10v + 10v Combine like terms: 4v + 10v = 14v 26 + 14v = -44 + -10v + 10v Combine like terms: -10v + 10v = 0 26 + 14v = -44 + 0 26 + 14v = -44 Add '-26' to each side of the equation. 26 + -26 + 14v = -44 + -26 Combine like terms: 26 + -26 = 0 0 + 14v = -44 + -26 14v = -44 + -26 Combine like terms: -44 + -26 = -70 14v = -70 Divide each side by '14'. v = -5 Simplifying v = -5
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