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Simplifying 49 + -1(2c + 4) = 4(c + 6) + c Reorder the terms: 49 + -1(4 + 2c) = 4(c + 6) + c 49 + (4 * -1 + 2c * -1) = 4(c + 6) + c 49 + (-4 + -2c) = 4(c + 6) + c Combine like terms: 49 + -4 = 45 45 + -2c = 4(c + 6) + c Reorder the terms: 45 + -2c = 4(6 + c) + c 45 + -2c = (6 * 4 + c * 4) + c 45 + -2c = (24 + 4c) + c Combine like terms: 4c + c = 5c 45 + -2c = 24 + 5c Solving 45 + -2c = 24 + 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. 45 + -2c + -5c = 24 + 5c + -5c Combine like terms: -2c + -5c = -7c 45 + -7c = 24 + 5c + -5c Combine like terms: 5c + -5c = 0 45 + -7c = 24 + 0 45 + -7c = 24 Add '-45' to each side of the equation. 45 + -45 + -7c = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -7c = 24 + -45 -7c = 24 + -45 Combine like terms: 24 + -45 = -21 -7c = -21 Divide each side by '-7'. c = 3 Simplifying c = 3
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