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Simplifying 3(c + -4) + 8 = 7 + c + -11 Reorder the terms: 3(-4 + c) + 8 = 7 + c + -11 (-4 * 3 + c * 3) + 8 = 7 + c + -11 (-12 + 3c) + 8 = 7 + c + -11 Reorder the terms: -12 + 8 + 3c = 7 + c + -11 Combine like terms: -12 + 8 = -4 -4 + 3c = 7 + c + -11 Reorder the terms: -4 + 3c = 7 + -11 + c Combine like terms: 7 + -11 = -4 -4 + 3c = -4 + c Add '4' to each side of the equation. -4 + 4 + 3c = -4 + 4 + c Combine like terms: -4 + 4 = 0 0 + 3c = -4 + 4 + c 3c = -4 + 4 + c Combine like terms: -4 + 4 = 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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