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Simplifying 12c + -10 + 11c = 18 + -2(5c + -19) Reorder the terms: -10 + 12c + 11c = 18 + -2(5c + -19) Combine like terms: 12c + 11c = 23c -10 + 23c = 18 + -2(5c + -19) Reorder the terms: -10 + 23c = 18 + -2(-19 + 5c) -10 + 23c = 18 + (-19 * -2 + 5c * -2) -10 + 23c = 18 + (38 + -10c) Combine like terms: 18 + 38 = 56 -10 + 23c = 56 + -10c Solving -10 + 23c = 56 + -10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10c' to each side of the equation. -10 + 23c + 10c = 56 + -10c + 10c Combine like terms: 23c + 10c = 33c -10 + 33c = 56 + -10c + 10c Combine like terms: -10c + 10c = 0 -10 + 33c = 56 + 0 -10 + 33c = 56 Add '10' to each side of the equation. -10 + 10 + 33c = 56 + 10 Combine like terms: -10 + 10 = 0 0 + 33c = 56 + 10 33c = 56 + 10 Combine like terms: 56 + 10 = 66 33c = 66 Divide each side by '33'. c = 2 Simplifying c = 2
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