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Simplifying 9c + -4 + 3(c + -11) = 23 Reorder the terms: 9c + -4 + 3(-11 + c) = 23 9c + -4 + (-11 * 3 + c * 3) = 23 9c + -4 + (-33 + 3c) = 23 Reorder the terms: -4 + -33 + 9c + 3c = 23 Combine like terms: -4 + -33 = -37 -37 + 9c + 3c = 23 Combine like terms: 9c + 3c = 12c -37 + 12c = 23 Solving -37 + 12c = 23 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 12c = 23 + 37 Combine like terms: -37 + 37 = 0 0 + 12c = 23 + 37 12c = 23 + 37 Combine like terms: 23 + 37 = 60 12c = 60 Divide each side by '12'. c = 5 Simplifying c = 5
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