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Simplifying 3(5c + 6) = 19c + 61 Reorder the terms: 3(6 + 5c) = 19c + 61 (6 * 3 + 5c * 3) = 19c + 61 (18 + 15c) = 19c + 61 Reorder the terms: 18 + 15c = 61 + 19c Solving 18 + 15c = 61 + 19c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-19c' to each side of the equation. 18 + 15c + -19c = 61 + 19c + -19c Combine like terms: 15c + -19c = -4c 18 + -4c = 61 + 19c + -19c Combine like terms: 19c + -19c = 0 18 + -4c = 61 + 0 18 + -4c = 61 Add '-18' to each side of the equation. 18 + -18 + -4c = 61 + -18 Combine like terms: 18 + -18 = 0 0 + -4c = 61 + -18 -4c = 61 + -18 Combine like terms: 61 + -18 = 43 -4c = 43 Divide each side by '-4'. c = -10.75 Simplifying c = -10.75
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