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Simplifying 8 + -1(3c + -4) = 6c + 2(c + -5) Reorder the terms: 8 + -1(-4 + 3c) = 6c + 2(c + -5) 8 + (-4 * -1 + 3c * -1) = 6c + 2(c + -5) 8 + (4 + -3c) = 6c + 2(c + -5) Combine like terms: 8 + 4 = 12 12 + -3c = 6c + 2(c + -5) Reorder the terms: 12 + -3c = 6c + 2(-5 + c) 12 + -3c = 6c + (-5 * 2 + c * 2) 12 + -3c = 6c + (-10 + 2c) Reorder the terms: 12 + -3c = -10 + 6c + 2c Combine like terms: 6c + 2c = 8c 12 + -3c = -10 + 8c Solving 12 + -3c = -10 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 12 + -3c + -8c = -10 + 8c + -8c Combine like terms: -3c + -8c = -11c 12 + -11c = -10 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + -11c = -10 + 0 12 + -11c = -10 Add '-12' to each side of the equation. 12 + -12 + -11c = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -11c = -10 + -12 -11c = -10 + -12 Combine like terms: -10 + -12 = -22 -11c = -22 Divide each side by '-11'. c = 2 Simplifying c = 2
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