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Simplifying 4(c + 3) = 24 + -1(24 + -19) + 1 Reorder the terms: 4(3 + c) = 24 + -1(24 + -19) + 1 (3 * 4 + c * 4) = 24 + -1(24 + -19) + 1 (12 + 4c) = 24 + -1(24 + -19) + 1 Combine like terms: 24 + -19 = 5 12 + 4c = 24 + -1(5) + 1 Multiply -1 * 5 12 + 4c = 24 + -5 + 1 Combine like terms: 24 + -5 = 19 12 + 4c = 19 + 1 Combine like terms: 19 + 1 = 20 12 + 4c = 20 Solving 12 + 4c = 20 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4c = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4c = 20 + -12 4c = 20 + -12 Combine like terms: 20 + -12 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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