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Simplifying 3(c + -5) + 7 = 3 + c + -11 Reorder the terms: 3(-5 + c) + 7 = 3 + c + -11 (-5 * 3 + c * 3) + 7 = 3 + c + -11 (-15 + 3c) + 7 = 3 + c + -11 Reorder the terms: -15 + 7 + 3c = 3 + c + -11 Combine like terms: -15 + 7 = -8 -8 + 3c = 3 + c + -11 Reorder the terms: -8 + 3c = 3 + -11 + c Combine like terms: 3 + -11 = -8 -8 + 3c = -8 + c Add '8' to each side of the equation. -8 + 8 + 3c = -8 + 8 + c Combine like terms: -8 + 8 = 0 0 + 3c = -8 + 8 + c 3c = -8 + 8 + c Combine like terms: -8 + 8 = 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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