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Simplifying (3c + 4) * 2 = 7c + -11 Reorder the terms: (4 + 3c) * 2 = 7c + -11 Reorder the terms for easier multiplication: 2(4 + 3c) = 7c + -11 (4 * 2 + 3c * 2) = 7c + -11 (8 + 6c) = 7c + -11 Reorder the terms: 8 + 6c = -11 + 7c Solving 8 + 6c = -11 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 8 + 6c + -7c = -11 + 7c + -7c Combine like terms: 6c + -7c = -1c 8 + -1c = -11 + 7c + -7c Combine like terms: 7c + -7c = 0 8 + -1c = -11 + 0 8 + -1c = -11 Add '-8' to each side of the equation. 8 + -8 + -1c = -11 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = -11 + -8 -1c = -11 + -8 Combine like terms: -11 + -8 = -19 -1c = -19 Divide each side by '-1'. c = 19 Simplifying c = 19
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