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Simplifying 18(6c + -1) + -12 = 106c + 18 Reorder the terms: 18(-1 + 6c) + -12 = 106c + 18 (-1 * 18 + 6c * 18) + -12 = 106c + 18 (-18 + 108c) + -12 = 106c + 18 Reorder the terms: -18 + -12 + 108c = 106c + 18 Combine like terms: -18 + -12 = -30 -30 + 108c = 106c + 18 Reorder the terms: -30 + 108c = 18 + 106c Solving -30 + 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. -30 + 108c + -106c = 18 + 106c + -106c Combine like terms: 108c + -106c = 2c -30 + 2c = 18 + 106c + -106c Combine like terms: 106c + -106c = 0 -30 + 2c = 18 + 0 -30 + 2c = 18 Add '30' to each side of the equation. -30 + 30 + 2c = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 2c = 18 + 30 2c = 18 + 30 Combine like terms: 18 + 30 = 48 2c = 48 Divide each side by '2'. c = 24 Simplifying c = 24
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