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Simplifying 10v + -5 = -7(6 + 7v) + -7(3v + 6) Reorder the terms: -5 + 10v = -7(6 + 7v) + -7(3v + 6) -5 + 10v = (6 * -7 + 7v * -7) + -7(3v + 6) -5 + 10v = (-42 + -49v) + -7(3v + 6) Reorder the terms: -5 + 10v = -42 + -49v + -7(6 + 3v) -5 + 10v = -42 + -49v + (6 * -7 + 3v * -7) -5 + 10v = -42 + -49v + (-42 + -21v) Reorder the terms: -5 + 10v = -42 + -42 + -49v + -21v Combine like terms: -42 + -42 = -84 -5 + 10v = -84 + -49v + -21v Combine like terms: -49v + -21v = -70v -5 + 10v = -84 + -70v Solving -5 + 10v = -84 + -70v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '70v' to each side of the equation. -5 + 10v + 70v = -84 + -70v + 70v Combine like terms: 10v + 70v = 80v -5 + 80v = -84 + -70v + 70v Combine like terms: -70v + 70v = 0 -5 + 80v = -84 + 0 -5 + 80v = -84 Add '5' to each side of the equation. -5 + 5 + 80v = -84 + 5 Combine like terms: -5 + 5 = 0 0 + 80v = -84 + 5 80v = -84 + 5 Combine like terms: -84 + 5 = -79 80v = -79 Divide each side by '80'. v = -0.9875 Simplifying v = -0.9875
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