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Simplifying 2(c + -6) + 7c = 5 + -3(-2) Reorder the terms: 2(-6 + c) + 7c = 5 + -3(-2) (-6 * 2 + c * 2) + 7c = 5 + -3(-2) (-12 + 2c) + 7c = 5 + -3(-2) Combine like terms: 2c + 7c = 9c -12 + 9c = 5 + -3(-2) Multiply -3 * -2 -12 + 9c = 5 + 6 Combine like terms: 5 + 6 = 11 -12 + 9c = 11 Solving -12 + 9c = 11 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9c = 11 + 12 Combine like terms: -12 + 12 = 0 0 + 9c = 11 + 12 9c = 11 + 12 Combine like terms: 11 + 12 = 23 9c = 23 Divide each side by '9'. c = 2.555555556 Simplifying c = 2.555555556
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