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Simplifying 6(c + -3) = 1 + 5c Reorder the terms: 6(-3 + c) = 1 + 5c (-3 * 6 + c * 6) = 1 + 5c (-18 + 6c) = 1 + 5c Solving -18 + 6c = 1 + 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 = 1 + 5c + -5c Combine like terms: 6c + -5c = 1c -18 + 1c = 1 + 5c + -5c Combine like terms: 5c + -5c = 0 -18 + 1c = 1 + 0 -18 + 1c = 1 Add '18' to each side of the equation. -18 + 18 + 1c = 1 + 18 Combine like terms: -18 + 18 = 0 0 + 1c = 1 + 18 1c = 1 + 18 Combine like terms: 1 + 18 = 19 1c = 19 Divide each side by '1'. c = 19 Simplifying c = 19
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