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Simplifying 52 + -1(2c + 4) = 4(c + 5) + 3 Reorder the terms: 52 + -1(4 + 2c) = 4(c + 5) + 3 52 + (4 * -1 + 2c * -1) = 4(c + 5) + 3 52 + (-4 + -2c) = 4(c + 5) + 3 Combine like terms: 52 + -4 = 48 48 + -2c = 4(c + 5) + 3 Reorder the terms: 48 + -2c = 4(5 + c) + 3 48 + -2c = (5 * 4 + c * 4) + 3 48 + -2c = (20 + 4c) + 3 Reorder the terms: 48 + -2c = 20 + 3 + 4c Combine like terms: 20 + 3 = 23 48 + -2c = 23 + 4c Solving 48 + -2c = 23 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 48 + -2c + -4c = 23 + 4c + -4c Combine like terms: -2c + -4c = -6c 48 + -6c = 23 + 4c + -4c Combine like terms: 4c + -4c = 0 48 + -6c = 23 + 0 48 + -6c = 23 Add '-48' to each side of the equation. 48 + -48 + -6c = 23 + -48 Combine like terms: 48 + -48 = 0 0 + -6c = 23 + -48 -6c = 23 + -48 Combine like terms: 23 + -48 = -25 -6c = -25 Divide each side by '-6'. c = 4.166666667 Simplifying c = 4.166666667
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