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Simplifying 4(c + -2) + 9 = 7 + c + -6 Reorder the terms: 4(-2 + c) + 9 = 7 + c + -6 (-2 * 4 + c * 4) + 9 = 7 + c + -6 (-8 + 4c) + 9 = 7 + c + -6 Reorder the terms: -8 + 9 + 4c = 7 + c + -6 Combine like terms: -8 + 9 = 1 1 + 4c = 7 + c + -6 Reorder the terms: 1 + 4c = 7 + -6 + c Combine like terms: 7 + -6 = 1 1 + 4c = 1 + c Add '-1' to each side of the equation. 1 + -1 + 4c = 1 + -1 + c Combine like terms: 1 + -1 = 0 0 + 4c = 1 + -1 + c 4c = 1 + -1 + c Combine like terms: 1 + -1 = 0 4c = 0 + c 4c = c Solving 4c = 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. 4c + -1c = c + -1c Combine like terms: 4c + -1c = 3c 3c = c + -1c Combine like terms: c + -1c = 0 3c = 0 Divide each side by '3'. c = 0 Simplifying c = 0
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