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Simplifying 3 + 5(c + 3) = -17 Reorder the terms: 3 + 5(3 + c) = -17 3 + (3 * 5 + c * 5) = -17 3 + (15 + 5c) = -17 Combine like terms: 3 + 15 = 18 18 + 5c = -17 Solving 18 + 5c = -17 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 5c = -17 + -18 Combine like terms: 18 + -18 = 0 0 + 5c = -17 + -18 5c = -17 + -18 Combine like terms: -17 + -18 = -35 5c = -35 Divide each side by '5'. c = -7 Simplifying c = -7
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