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Simplifying 2(2c + -3) + -5 = 2c + 1 Reorder the terms: 2(-3 + 2c) + -5 = 2c + 1 (-3 * 2 + 2c * 2) + -5 = 2c + 1 (-6 + 4c) + -5 = 2c + 1 Reorder the terms: -6 + -5 + 4c = 2c + 1 Combine like terms: -6 + -5 = -11 -11 + 4c = 2c + 1 Reorder the terms: -11 + 4c = 1 + 2c Solving -11 + 4c = 1 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -11 + 4c + -2c = 1 + 2c + -2c Combine like terms: 4c + -2c = 2c -11 + 2c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 -11 + 2c = 1 + 0 -11 + 2c = 1 Add '11' to each side of the equation. -11 + 11 + 2c = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 2c = 1 + 11 2c = 1 + 11 Combine like terms: 1 + 11 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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