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Simplifying -1(6 + -1c) + 6c + 21 = 1 (6 * -1 + -1c * -1) + 6c + 21 = 1 (-6 + 1c) + 6c + 21 = 1 Reorder the terms: -6 + 21 + 1c + 6c = 1 Combine like terms: -6 + 21 = 15 15 + 1c + 6c = 1 Combine like terms: 1c + 6c = 7c 15 + 7c = 1 Solving 15 + 7c = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7c = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7c = 1 + -15 7c = 1 + -15 Combine like terms: 1 + -15 = -14 7c = -14 Divide each side by '7'. c = -2 Simplifying c = -2
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