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Simplifying -8(v + 4) + 2v + 6 = 7v + 10 Reorder the terms: -8(4 + v) + 2v + 6 = 7v + 10 (4 * -8 + v * -8) + 2v + 6 = 7v + 10 (-32 + -8v) + 2v + 6 = 7v + 10 Reorder the terms: -32 + 6 + -8v + 2v = 7v + 10 Combine like terms: -32 + 6 = -26 -26 + -8v + 2v = 7v + 10 Combine like terms: -8v + 2v = -6v -26 + -6v = 7v + 10 Reorder the terms: -26 + -6v = 10 + 7v Solving -26 + -6v = 10 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -26 + -6v + -7v = 10 + 7v + -7v Combine like terms: -6v + -7v = -13v -26 + -13v = 10 + 7v + -7v Combine like terms: 7v + -7v = 0 -26 + -13v = 10 + 0 -26 + -13v = 10 Add '26' to each side of the equation. -26 + 26 + -13v = 10 + 26 Combine like terms: -26 + 26 = 0 0 + -13v = 10 + 26 -13v = 10 + 26 Combine like terms: 10 + 26 = 36 -13v = 36 Divide each side by '-13'. v = -2.769230769 Simplifying v = -2.769230769
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