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Simplifying 3(2c + -1) + -4 = 4c + 7 Reorder the terms: 3(-1 + 2c) + -4 = 4c + 7 (-1 * 3 + 2c * 3) + -4 = 4c + 7 (-3 + 6c) + -4 = 4c + 7 Reorder the terms: -3 + -4 + 6c = 4c + 7 Combine like terms: -3 + -4 = -7 -7 + 6c = 4c + 7 Reorder the terms: -7 + 6c = 7 + 4c Solving -7 + 6c = 7 + 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. -7 + 6c + -4c = 7 + 4c + -4c Combine like terms: 6c + -4c = 2c -7 + 2c = 7 + 4c + -4c Combine like terms: 4c + -4c = 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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