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Simplifying (4c + -5) + -1(c + 11) + (-6c + -17) = 0 Reorder the terms: (-5 + 4c) + -1(c + 11) + (-6c + -17) = 0 Remove parenthesis around (-5 + 4c) -5 + 4c + -1(c + 11) + (-6c + -17) = 0 Reorder the terms: -5 + 4c + -1(11 + c) + (-6c + -17) = 0 -5 + 4c + (11 * -1 + c * -1) + (-6c + -17) = 0 -5 + 4c + (-11 + -1c) + (-6c + -17) = 0 Reorder the terms: -5 + 4c + -11 + -1c + (-17 + -6c) = 0 Remove parenthesis around (-17 + -6c) -5 + 4c + -11 + -1c + -17 + -6c = 0 Reorder the terms: -5 + -11 + -17 + 4c + -1c + -6c = 0 Combine like terms: -5 + -11 = -16 -16 + -17 + 4c + -1c + -6c = 0 Combine like terms: -16 + -17 = -33 -33 + 4c + -1c + -6c = 0 Combine like terms: 4c + -1c = 3c -33 + 3c + -6c = 0 Combine like terms: 3c + -6c = -3c -33 + -3c = 0 Solving -33 + -3c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -3c = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -3c = 0 + 33 -3c = 0 + 33 Combine like terms: 0 + 33 = 33 -3c = 33 Divide each side by '-3'. c = -11 Simplifying c = -11
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