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Simplifying 4(3 + -1c) + 5c + 3 = 6c + -29 (3 * 4 + -1c * 4) + 5c + 3 = 6c + -29 (12 + -4c) + 5c + 3 = 6c + -29 Reorder the terms: 12 + 3 + -4c + 5c = 6c + -29 Combine like terms: 12 + 3 = 15 15 + -4c + 5c = 6c + -29 Combine like terms: -4c + 5c = 1c 15 + 1c = 6c + -29 Reorder the terms: 15 + 1c = -29 + 6c Solving 15 + 1c = -29 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 15 + 1c + -6c = -29 + 6c + -6c Combine like terms: 1c + -6c = -5c 15 + -5c = -29 + 6c + -6c Combine like terms: 6c + -6c = 0 15 + -5c = -29 + 0 15 + -5c = -29 Add '-15' to each side of the equation. 15 + -15 + -5c = -29 + -15 Combine like terms: 15 + -15 = 0 0 + -5c = -29 + -15 -5c = -29 + -15 Combine like terms: -29 + -15 = -44 -5c = -44 Divide each side by '-5'. c = 8.8 Simplifying c = 8.8
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