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Simplifying -61 = 5(3v + -5) + 6(1 + v) Reorder the terms: -61 = 5(-5 + 3v) + 6(1 + v) -61 = (-5 * 5 + 3v * 5) + 6(1 + v) -61 = (-25 + 15v) + 6(1 + v) -61 = -25 + 15v + (1 * 6 + v * 6) -61 = -25 + 15v + (6 + 6v) Reorder the terms: -61 = -25 + 6 + 15v + 6v Combine like terms: -25 + 6 = -19 -61 = -19 + 15v + 6v Combine like terms: 15v + 6v = 21v -61 = -19 + 21v Solving -61 = -19 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -61 + -21v = -19 + 21v + -21v Combine like terms: 21v + -21v = 0 -61 + -21v = -19 + 0 -61 + -21v = -19 Add '61' to each side of the equation. -61 + 61 + -21v = -19 + 61 Combine like terms: -61 + 61 = 0 0 + -21v = -19 + 61 -21v = -19 + 61 Combine like terms: -19 + 61 = 42 -21v = 42 Divide each side by '-21'. v = -2 Simplifying v = -2
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