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Simplifying -6(6c + -6) + 7(c + 7) = -31 Reorder the terms: -6(-6 + 6c) + 7(c + 7) = -31 (-6 * -6 + 6c * -6) + 7(c + 7) = -31 (36 + -36c) + 7(c + 7) = -31 Reorder the terms: 36 + -36c + 7(7 + c) = -31 36 + -36c + (7 * 7 + c * 7) = -31 36 + -36c + (49 + 7c) = -31 Reorder the terms: 36 + 49 + -36c + 7c = -31 Combine like terms: 36 + 49 = 85 85 + -36c + 7c = -31 Combine like terms: -36c + 7c = -29c 85 + -29c = -31 Solving 85 + -29c = -31 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + -29c = -31 + -85 Combine like terms: 85 + -85 = 0 0 + -29c = -31 + -85 -29c = -31 + -85 Combine like terms: -31 + -85 = -116 -29c = -116 Divide each side by '-29'. c = 4 Simplifying c = 4
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