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Simplifying 6(c + -4) + 6 = 3 + c + -21 Reorder the terms: 6(-4 + c) + 6 = 3 + c + -21 (-4 * 6 + c * 6) + 6 = 3 + c + -21 (-24 + 6c) + 6 = 3 + c + -21 Reorder the terms: -24 + 6 + 6c = 3 + c + -21 Combine like terms: -24 + 6 = -18 -18 + 6c = 3 + c + -21 Reorder the terms: -18 + 6c = 3 + -21 + c Combine like terms: 3 + -21 = -18 -18 + 6c = -18 + c Add '18' to each side of the equation. -18 + 18 + 6c = -18 + 18 + c Combine like terms: -18 + 18 = 0 0 + 6c = -18 + 18 + c 6c = -18 + 18 + c Combine like terms: -18 + 18 = 0 6c = 0 + c 6c = c Solving 6c = 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. 6c + -1c = c + -1c Combine like terms: 6c + -1c = 5c 5c = c + -1c Combine like terms: c + -1c = 0 5c = 0 Divide each side by '5'. c = 0 Simplifying c = 0
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