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Simplifying 6(6 + c) = 2(c + -1) (6 * 6 + c * 6) = 2(c + -1) (36 + 6c) = 2(c + -1) Reorder the terms: 36 + 6c = 2(-1 + c) 36 + 6c = (-1 * 2 + c * 2) 36 + 6c = (-2 + 2c) Solving 36 + 6c = -2 + 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. 36 + 6c + -2c = -2 + 2c + -2c Combine like terms: 6c + -2c = 4c 36 + 4c = -2 + 2c + -2c Combine like terms: 2c + -2c = 0 36 + 4c = -2 + 0 36 + 4c = -2 Add '-36' to each side of the equation. 36 + -36 + 4c = -2 + -36 Combine like terms: 36 + -36 = 0 0 + 4c = -2 + -36 4c = -2 + -36 Combine like terms: -2 + -36 = -38 4c = -38 Divide each side by '4'. c = -9.5 Simplifying c = -9.5
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