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Simplifying -6(6 + -1c) + 3(2c + -7) = 1 (6 * -6 + -1c * -6) + 3(2c + -7) = 1 (-36 + 6c) + 3(2c + -7) = 1 Reorder the terms: -36 + 6c + 3(-7 + 2c) = 1 -36 + 6c + (-7 * 3 + 2c * 3) = 1 -36 + 6c + (-21 + 6c) = 1 Reorder the terms: -36 + -21 + 6c + 6c = 1 Combine like terms: -36 + -21 = -57 -57 + 6c + 6c = 1 Combine like terms: 6c + 6c = 12c -57 + 12c = 1 Solving -57 + 12c = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + 12c = 1 + 57 Combine like terms: -57 + 57 = 0 0 + 12c = 1 + 57 12c = 1 + 57 Combine like terms: 1 + 57 = 58 12c = 58 Divide each side by '12'. c = 4.833333333 Simplifying c = 4.833333333
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