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Simplifying 3(2c + -3) + -7 = 4c + 4 Reorder the terms: 3(-3 + 2c) + -7 = 4c + 4 (-3 * 3 + 2c * 3) + -7 = 4c + 4 (-9 + 6c) + -7 = 4c + 4 Reorder the terms: -9 + -7 + 6c = 4c + 4 Combine like terms: -9 + -7 = -16 -16 + 6c = 4c + 4 Reorder the terms: -16 + 6c = 4 + 4c Solving -16 + 6c = 4 + 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. -16 + 6c + -4c = 4 + 4c + -4c Combine like terms: 6c + -4c = 2c -16 + 2c = 4 + 4c + -4c Combine like terms: 4c + -4c = 0 -16 + 2c = 4 + 0 -16 + 2c = 4 Add '16' to each side of the equation. -16 + 16 + 2c = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 2c = 4 + 16 2c = 4 + 16 Combine like terms: 4 + 16 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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