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Simplifying 40 + -1(3c + 4) = 2(c + 3) + 3 Reorder the terms: 40 + -1(4 + 3c) = 2(c + 3) + 3 40 + (4 * -1 + 3c * -1) = 2(c + 3) + 3 40 + (-4 + -3c) = 2(c + 3) + 3 Combine like terms: 40 + -4 = 36 36 + -3c = 2(c + 3) + 3 Reorder the terms: 36 + -3c = 2(3 + c) + 3 36 + -3c = (3 * 2 + c * 2) + 3 36 + -3c = (6 + 2c) + 3 Reorder the terms: 36 + -3c = 6 + 3 + 2c Combine like terms: 6 + 3 = 9 36 + -3c = 9 + 2c Solving 36 + -3c = 9 + 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. 36 + -3c + -2c = 9 + 2c + -2c Combine like terms: -3c + -2c = -5c 36 + -5c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 36 + -5c = 9 + 0 36 + -5c = 9 Add '-36' to each side of the equation. 36 + -36 + -5c = 9 + -36 Combine like terms: 36 + -36 = 0 0 + -5c = 9 + -36 -5c = 9 + -36 Combine like terms: 9 + -36 = -27 -5c = -27 Divide each side by '-5'. c = 5.4 Simplifying c = 5.4
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