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Simplifying 2(2c + -3) + -1 = 2c + 1 Reorder the terms: 2(-3 + 2c) + -1 = 2c + 1 (-3 * 2 + 2c * 2) + -1 = 2c + 1 (-6 + 4c) + -1 = 2c + 1 Reorder the terms: -6 + -1 + 4c = 2c + 1 Combine like terms: -6 + -1 = -7 -7 + 4c = 2c + 1 Reorder the terms: -7 + 4c = 1 + 2c Solving -7 + 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. -7 + 4c + -2c = 1 + 2c + -2c Combine like terms: 4c + -2c = 2c -7 + 2c = 1 + 2c + -2c Combine like terms: 2c + -2c = 0 -7 + 2c = 1 + 0 -7 + 2c = 1 Add '7' to each side of the equation. -7 + 7 + 2c = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 1 + 7 2c = 1 + 7 Combine like terms: 1 + 7 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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