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Simplifying -3(-10c + 11) + 9c = -13c + 1 + -6c Reorder the terms: -3(11 + -10c) + 9c = -13c + 1 + -6c (11 * -3 + -10c * -3) + 9c = -13c + 1 + -6c (-33 + 30c) + 9c = -13c + 1 + -6c Combine like terms: 30c + 9c = 39c -33 + 39c = -13c + 1 + -6c Reorder the terms: -33 + 39c = 1 + -13c + -6c Combine like terms: -13c + -6c = -19c -33 + 39c = 1 + -19c Solving -33 + 39c = 1 + -19c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '19c' to each side of the equation. -33 + 39c + 19c = 1 + -19c + 19c Combine like terms: 39c + 19c = 58c -33 + 58c = 1 + -19c + 19c Combine like terms: -19c + 19c = 0 -33 + 58c = 1 + 0 -33 + 58c = 1 Add '33' to each side of the equation. -33 + 33 + 58c = 1 + 33 Combine like terms: -33 + 33 = 0 0 + 58c = 1 + 33 58c = 1 + 33 Combine like terms: 1 + 33 = 34 58c = 34 Divide each side by '58'. c = 0.5862068966 Simplifying c = 0.5862068966
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