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Simplifying 6c + 7 = 11(c + -3) Reorder the terms: 7 + 6c = 11(c + -3) Reorder the terms: 7 + 6c = 11(-3 + c) 7 + 6c = (-3 * 11 + c * 11) 7 + 6c = (-33 + 11c) Solving 7 + 6c = -33 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. 7 + 6c + -11c = -33 + 11c + -11c Combine like terms: 6c + -11c = -5c 7 + -5c = -33 + 11c + -11c Combine like terms: 11c + -11c = 0 7 + -5c = -33 + 0 7 + -5c = -33 Add '-7' to each side of the equation. 7 + -7 + -5c = -33 + -7 Combine like terms: 7 + -7 = 0 0 + -5c = -33 + -7 -5c = -33 + -7 Combine like terms: -33 + -7 = -40 -5c = -40 Divide each side by '-5'. c = 8 Simplifying c = 8
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