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Simplifying 5 + -2(3c + 5) + -6 = 3 + -7c Reorder the terms: 5 + -2(5 + 3c) + -6 = 3 + -7c 5 + (5 * -2 + 3c * -2) + -6 = 3 + -7c 5 + (-10 + -6c) + -6 = 3 + -7c Reorder the terms: 5 + -10 + -6 + -6c = 3 + -7c Combine like terms: 5 + -10 = -5 -5 + -6 + -6c = 3 + -7c Combine like terms: -5 + -6 = -11 -11 + -6c = 3 + -7c Solving -11 + -6c = 3 + -7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7c' to each side of the equation. -11 + -6c + 7c = 3 + -7c + 7c Combine like terms: -6c + 7c = 1c -11 + 1c = 3 + -7c + 7c Combine like terms: -7c + 7c = 0 -11 + 1c = 3 + 0 -11 + 1c = 3 Add '11' to each side of the equation. -11 + 11 + 1c = 3 + 11 Combine like terms: -11 + 11 = 0 0 + 1c = 3 + 11 1c = 3 + 11 Combine like terms: 3 + 11 = 14 1c = 14 Divide each side by '1'. c = 14 Simplifying c = 14
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