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Simplifying c + 1 + 2(2c + -3) = 4c + 5 Reorder the terms: c + 1 + 2(-3 + 2c) = 4c + 5 c + 1 + (-3 * 2 + 2c * 2) = 4c + 5 c + 1 + (-6 + 4c) = 4c + 5 Reorder the terms: 1 + -6 + c + 4c = 4c + 5 Combine like terms: 1 + -6 = -5 -5 + c + 4c = 4c + 5 Combine like terms: c + 4c = 5c -5 + 5c = 4c + 5 Reorder the terms: -5 + 5c = 5 + 4c Solving -5 + 5c = 5 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -5 + 5c + -4c = 5 + 4c + -4c Combine like terms: 5c + -4c = 1c -5 + 1c = 5 + 4c + -4c Combine like terms: 4c + -4c = 0 -5 + 1c = 5 + 0 -5 + 1c = 5 Add '5' to each side of the equation. -5 + 5 + 1c = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1c = 5 + 5 1c = 5 + 5 Combine like terms: 5 + 5 = 10 1c = 10 Divide each side by '1'. c = 10 Simplifying c = 10
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