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Simplifying 18(6c + -1) + -18 = 106c + 18 Reorder the terms: 18(-1 + 6c) + -18 = 106c + 18 (-1 * 18 + 6c * 18) + -18 = 106c + 18 (-18 + 108c) + -18 = 106c + 18 Reorder the terms: -18 + -18 + 108c = 106c + 18 Combine like terms: -18 + -18 = -36 -36 + 108c = 106c + 18 Reorder the terms: -36 + 108c = 18 + 106c Solving -36 + 108c = 18 + 106c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-106c' to each side of the equation. -36 + 108c + -106c = 18 + 106c + -106c Combine like terms: 108c + -106c = 2c -36 + 2c = 18 + 106c + -106c Combine like terms: 106c + -106c = 0 -36 + 2c = 18 + 0 -36 + 2c = 18 Add '36' to each side of the equation. -36 + 36 + 2c = 18 + 36 Combine like terms: -36 + 36 = 0 0 + 2c = 18 + 36 2c = 18 + 36 Combine like terms: 18 + 36 = 54 2c = 54 Divide each side by '2'. c = 27 Simplifying c = 27
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