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Simplifying 25c + (16c + -19) = 48c + -47 Reorder the terms: 25c + (-19 + 16c) = 48c + -47 Remove parenthesis around (-19 + 16c) 25c + -19 + 16c = 48c + -47 Reorder the terms: -19 + 25c + 16c = 48c + -47 Combine like terms: 25c + 16c = 41c -19 + 41c = 48c + -47 Reorder the terms: -19 + 41c = -47 + 48c Solving -19 + 41c = -47 + 48c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48c' to each side of the equation. -19 + 41c + -48c = -47 + 48c + -48c Combine like terms: 41c + -48c = -7c -19 + -7c = -47 + 48c + -48c Combine like terms: 48c + -48c = 0 -19 + -7c = -47 + 0 -19 + -7c = -47 Add '19' to each side of the equation. -19 + 19 + -7c = -47 + 19 Combine like terms: -19 + 19 = 0 0 + -7c = -47 + 19 -7c = -47 + 19 Combine like terms: -47 + 19 = -28 -7c = -28 Divide each side by '-7'. c = 4 Simplifying c = 4
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