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