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Simplifying 2(2c + -1) + -7 = 2c + 5 Reorder the terms: 2(-1 + 2c) + -7 = 2c + 5 (-1 * 2 + 2c * 2) + -7 = 2c + 5 (-2 + 4c) + -7 = 2c + 5 Reorder the terms: -2 + -7 + 4c = 2c + 5 Combine like terms: -2 + -7 = -9 -9 + 4c = 2c + 5 Reorder the terms: -9 + 4c = 5 + 2c Solving -9 + 4c = 5 + 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. -9 + 4c + -2c = 5 + 2c + -2c Combine like terms: 4c + -2c = 2c -9 + 2c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 -9 + 2c = 5 + 0 -9 + 2c = 5 Add '9' to each side of the equation. -9 + 9 + 2c = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 5 + 9 2c = 5 + 9 Combine like terms: 5 + 9 = 14 2c = 14 Divide each side by '2'. c = 7 Simplifying c = 7
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