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Simplifying 56 + -1(2c + 4) = 4(c + 7) + c Reorder the terms: 56 + -1(4 + 2c) = 4(c + 7) + c 56 + (4 * -1 + 2c * -1) = 4(c + 7) + c 56 + (-4 + -2c) = 4(c + 7) + c Combine like terms: 56 + -4 = 52 52 + -2c = 4(c + 7) + c Reorder the terms: 52 + -2c = 4(7 + c) + c 52 + -2c = (7 * 4 + c * 4) + c 52 + -2c = (28 + 4c) + c Combine like terms: 4c + c = 5c 52 + -2c = 28 + 5c Solving 52 + -2c = 28 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 52 + -2c + -5c = 28 + 5c + -5c Combine like terms: -2c + -5c = -7c 52 + -7c = 28 + 5c + -5c Combine like terms: 5c + -5c = 0 52 + -7c = 28 + 0 52 + -7c = 28 Add '-52' to each side of the equation. 52 + -52 + -7c = 28 + -52 Combine like terms: 52 + -52 = 0 0 + -7c = 28 + -52 -7c = 28 + -52 Combine like terms: 28 + -52 = -24 -7c = -24 Divide each side by '-7'. c = 3.428571429 Simplifying c = 3.428571429
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