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Simplifying -2c + -2 = -5(-9c + 7) + -10(6 + -8c) Reorder the terms: -2 + -2c = -5(-9c + 7) + -10(6 + -8c) Reorder the terms: -2 + -2c = -5(7 + -9c) + -10(6 + -8c) -2 + -2c = (7 * -5 + -9c * -5) + -10(6 + -8c) -2 + -2c = (-35 + 45c) + -10(6 + -8c) -2 + -2c = -35 + 45c + (6 * -10 + -8c * -10) -2 + -2c = -35 + 45c + (-60 + 80c) Reorder the terms: -2 + -2c = -35 + -60 + 45c + 80c Combine like terms: -35 + -60 = -95 -2 + -2c = -95 + 45c + 80c Combine like terms: 45c + 80c = 125c -2 + -2c = -95 + 125c Solving -2 + -2c = -95 + 125c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-125c' to each side of the equation. -2 + -2c + -125c = -95 + 125c + -125c Combine like terms: -2c + -125c = -127c -2 + -127c = -95 + 125c + -125c Combine like terms: 125c + -125c = 0 -2 + -127c = -95 + 0 -2 + -127c = -95 Add '2' to each side of the equation. -2 + 2 + -127c = -95 + 2 Combine like terms: -2 + 2 = 0 0 + -127c = -95 + 2 -127c = -95 + 2 Combine like terms: -95 + 2 = -93 -127c = -93 Divide each side by '-127'. c = 0.7322834646 Simplifying c = 0.7322834646
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