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Simplifying 51 + -1(2c + 3) = 4C + 20 + C Reorder the terms: 51 + -1(3 + 2c) = 4C + 20 + C 51 + (3 * -1 + 2c * -1) = 4C + 20 + C 51 + (-3 + -2c) = 4C + 20 + C Combine like terms: 51 + -3 = 48 48 + -2c = 4C + 20 + C Reorder the terms: 48 + -2c = 20 + 4C + C Combine like terms: 4C + C = 5C 48 + -2c = 20 + 5C Solving 48 + -2c = 20 + 5C Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -2c = 20 + -48 + 5C Combine like terms: 48 + -48 = 0 0 + -2c = 20 + -48 + 5C -2c = 20 + -48 + 5C Combine like terms: 20 + -48 = -28 -2c = -28 + 5C Divide each side by '-2'. c = 14 + -2.5C Simplifying c = 14 + -2.5C
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