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Simplifying 3(5c + 3) + -28 = 11c + 1 Reorder the terms: 3(3 + 5c) + -28 = 11c + 1 (3 * 3 + 5c * 3) + -28 = 11c + 1 (9 + 15c) + -28 = 11c + 1 Reorder the terms: 9 + -28 + 15c = 11c + 1 Combine like terms: 9 + -28 = -19 -19 + 15c = 11c + 1 Reorder the terms: -19 + 15c = 1 + 11c Solving -19 + 15c = 1 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -19 + 15c + -11c = 1 + 11c + -11c Combine like terms: 15c + -11c = 4c -19 + 4c = 1 + 11c + -11c Combine like terms: 11c + -11c = 0 -19 + 4c = 1 + 0 -19 + 4c = 1 Add '19' to each side of the equation. -19 + 19 + 4c = 1 + 19 Combine like terms: -19 + 19 = 0 0 + 4c = 1 + 19 4c = 1 + 19 Combine like terms: 1 + 19 = 20 4c = 20 Divide each side by '4'. c = 5 Simplifying c = 5
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