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Simplifying 6(c + -2) + 7 = 6 + c + -11 Reorder the terms: 6(-2 + c) + 7 = 6 + c + -11 (-2 * 6 + c * 6) + 7 = 6 + c + -11 (-12 + 6c) + 7 = 6 + c + -11 Reorder the terms: -12 + 7 + 6c = 6 + c + -11 Combine like terms: -12 + 7 = -5 -5 + 6c = 6 + c + -11 Reorder the terms: -5 + 6c = 6 + -11 + c Combine like terms: 6 + -11 = -5 -5 + 6c = -5 + c Add '5' to each side of the equation. -5 + 5 + 6c = -5 + 5 + c Combine like terms: -5 + 5 = 0 0 + 6c = -5 + 5 + c 6c = -5 + 5 + c Combine like terms: -5 + 5 = 0 6c = 0 + c 6c = c Solving 6c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 6c + -1c = c + -1c Combine like terms: 6c + -1c = 5c 5c = c + -1c Combine like terms: c + -1c = 0 5c = 0 Divide each side by '5'. c = 0 Simplifying c = 0
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