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