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Simplifying 44 + -1(3c + 4) = 2(c + 5) + 2 Reorder the terms: 44 + -1(4 + 3c) = 2(c + 5) + 2 44 + (4 * -1 + 3c * -1) = 2(c + 5) + 2 44 + (-4 + -3c) = 2(c + 5) + 2 Combine like terms: 44 + -4 = 40 40 + -3c = 2(c + 5) + 2 Reorder the terms: 40 + -3c = 2(5 + c) + 2 40 + -3c = (5 * 2 + c * 2) + 2 40 + -3c = (10 + 2c) + 2 Reorder the terms: 40 + -3c = 10 + 2 + 2c Combine like terms: 10 + 2 = 12 40 + -3c = 12 + 2c Solving 40 + -3c = 12 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 40 + -3c + -2c = 12 + 2c + -2c Combine like terms: -3c + -2c = -5c 40 + -5c = 12 + 2c + -2c Combine like terms: 2c + -2c = 0 40 + -5c = 12 + 0 40 + -5c = 12 Add '-40' to each side of the equation. 40 + -40 + -5c = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -5c = 12 + -40 -5c = 12 + -40 Combine like terms: 12 + -40 = -28 -5c = -28 Divide each side by '-5'. c = 5.6 Simplifying c = 5.6
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