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Simplifying -1(6 + -1c) + 3(2c + -7) = 1 (6 * -1 + -1c * -1) + 3(2c + -7) = 1 (-6 + 1c) + 3(2c + -7) = 1 Reorder the terms: -6 + 1c + 3(-7 + 2c) = 1 -6 + 1c + (-7 * 3 + 2c * 3) = 1 -6 + 1c + (-21 + 6c) = 1 Reorder the terms: -6 + -21 + 1c + 6c = 1 Combine like terms: -6 + -21 = -27 -27 + 1c + 6c = 1 Combine like terms: 1c + 6c = 7c -27 + 7c = 1 Solving -27 + 7c = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7c = 1 + 27 Combine like terms: -27 + 27 = 0 0 + 7c = 1 + 27 7c = 1 + 27 Combine like terms: 1 + 27 = 28 7c = 28 Divide each side by '7'. c = 4 Simplifying c = 4
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