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Simplifying 3(3c + -1) + -4 = 7c + 7 Reorder the terms: 3(-1 + 3c) + -4 = 7c + 7 (-1 * 3 + 3c * 3) + -4 = 7c + 7 (-3 + 9c) + -4 = 7c + 7 Reorder the terms: -3 + -4 + 9c = 7c + 7 Combine like terms: -3 + -4 = -7 -7 + 9c = 7c + 7 Reorder the terms: -7 + 9c = 7 + 7c Solving -7 + 9c = 7 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -7 + 9c + -7c = 7 + 7c + -7c Combine like terms: 9c + -7c = 2c -7 + 2c = 7 + 7c + -7c Combine like terms: 7c + -7c = 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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