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Simplifying 6(c + -3) = 4 + -5c Reorder the terms: 6(-3 + c) = 4 + -5c (-3 * 6 + c * 6) = 4 + -5c (-18 + 6c) = 4 + -5c Solving -18 + 6c = 4 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -18 + 6c + 5c = 4 + -5c + 5c Combine like terms: 6c + 5c = 11c -18 + 11c = 4 + -5c + 5c Combine like terms: -5c + 5c = 0 -18 + 11c = 4 + 0 -18 + 11c = 4 Add '18' to each side of the equation. -18 + 18 + 11c = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 11c = 4 + 18 11c = 4 + 18 Combine like terms: 4 + 18 = 22 11c = 22 Divide each side by '11'. c = 2 Simplifying c = 2
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