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Simplifying 7 + 8(3c + 5) = 19c + -18 Reorder the terms: 7 + 8(5 + 3c) = 19c + -18 7 + (5 * 8 + 3c * 8) = 19c + -18 7 + (40 + 24c) = 19c + -18 Combine like terms: 7 + 40 = 47 47 + 24c = 19c + -18 Reorder the terms: 47 + 24c = -18 + 19c Solving 47 + 24c = -18 + 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. 47 + 24c + -19c = -18 + 19c + -19c Combine like terms: 24c + -19c = 5c 47 + 5c = -18 + 19c + -19c Combine like terms: 19c + -19c = 0 47 + 5c = -18 + 0 47 + 5c = -18 Add '-47' to each side of the equation. 47 + -47 + 5c = -18 + -47 Combine like terms: 47 + -47 = 0 0 + 5c = -18 + -47 5c = -18 + -47 Combine like terms: -18 + -47 = -65 5c = -65 Divide each side by '5'. c = -13 Simplifying c = -13
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