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Simplifying 6(6c + -2) + 8(1 + -5c) = -2c Reorder the terms: 6(-2 + 6c) + 8(1 + -5c) = -2c (-2 * 6 + 6c * 6) + 8(1 + -5c) = -2c (-12 + 36c) + 8(1 + -5c) = -2c -12 + 36c + (1 * 8 + -5c * 8) = -2c -12 + 36c + (8 + -40c) = -2c Reorder the terms: -12 + 8 + 36c + -40c = -2c Combine like terms: -12 + 8 = -4 -4 + 36c + -40c = -2c Combine like terms: 36c + -40c = -4c -4 + -4c = -2c Solving -4 + -4c = -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -4 + -4c + 2c = -2c + 2c Combine like terms: -4c + 2c = -2c -4 + -2c = -2c + 2c Combine like terms: -2c + 2c = 0 -4 + -2c = 0 Add '4' to each side of the equation. -4 + 4 + -2c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2c = 0 + 4 -2c = 0 + 4 Combine like terms: 0 + 4 = 4 -2c = 4 Divide each side by '-2'. c = -2 Simplifying c = -2
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