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Simplifying 3(c + -3) + 7 = 4 + c + -6 Reorder the terms: 3(-3 + c) + 7 = 4 + c + -6 (-3 * 3 + c * 3) + 7 = 4 + c + -6 (-9 + 3c) + 7 = 4 + c + -6 Reorder the terms: -9 + 7 + 3c = 4 + c + -6 Combine like terms: -9 + 7 = -2 -2 + 3c = 4 + c + -6 Reorder the terms: -2 + 3c = 4 + -6 + c Combine like terms: 4 + -6 = -2 -2 + 3c = -2 + c Add '2' to each side of the equation. -2 + 2 + 3c = -2 + 2 + c Combine like terms: -2 + 2 = 0 0 + 3c = -2 + 2 + c 3c = -2 + 2 + c Combine like terms: -2 + 2 = 0 3c = 0 + c 3c = c Solving 3c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 3c + -1c = c + -1c Combine like terms: 3c + -1c = 2c 2c = c + -1c Combine like terms: c + -1c = 0 2c = 0 Divide each side by '2'. c = 0 Simplifying c = 0
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