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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 = 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 = 16 7c = 16 Divide each side by '7'. c = 2.285714286 Simplifying c = 2.285714286
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