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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 = 15 15 + 1c + -6c = 1 Combine like terms: 1c + -6c = -5c 15 + -5c = 1 Solving 15 + -5c = 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 + -5c = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -5c = 1 + -15 -5c = 1 + -15 Combine like terms: 1 + -15 = -14 -5c = -14 Divide each side by '-5'. c = 2.8 Simplifying c = 2.8
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