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Simplifying 55 + -1(2c + 3) = 4(c + 6) + 6 Reorder the terms: 55 + -1(3 + 2c) = 4(c + 6) + 6 55 + (3 * -1 + 2c * -1) = 4(c + 6) + 6 55 + (-3 + -2c) = 4(c + 6) + 6 Combine like terms: 55 + -3 = 52 52 + -2c = 4(c + 6) + 6 Reorder the terms: 52 + -2c = 4(6 + c) + 6 52 + -2c = (6 * 4 + c * 4) + 6 52 + -2c = (24 + 4c) + 6 Reorder the terms: 52 + -2c = 24 + 6 + 4c Combine like terms: 24 + 6 = 30 52 + -2c = 30 + 4c Solving 52 + -2c = 30 + 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. 52 + -2c + -4c = 30 + 4c + -4c Combine like terms: -2c + -4c = -6c 52 + -6c = 30 + 4c + -4c Combine like terms: 4c + -4c = 0 52 + -6c = 30 + 0 52 + -6c = 30 Add '-52' to each side of the equation. 52 + -52 + -6c = 30 + -52 Combine like terms: 52 + -52 = 0 0 + -6c = 30 + -52 -6c = 30 + -52 Combine like terms: 30 + -52 = -22 -6c = -22 Divide each side by '-6'. c = 3.666666667 Simplifying c = 3.666666667
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