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Simplifying 42 + -1(3c + 4) = 2(c + 2) + c Reorder the terms: 42 + -1(4 + 3c) = 2(c + 2) + c 42 + (4 * -1 + 3c * -1) = 2(c + 2) + c 42 + (-4 + -3c) = 2(c + 2) + c Combine like terms: 42 + -4 = 38 38 + -3c = 2(c + 2) + c Reorder the terms: 38 + -3c = 2(2 + c) + c 38 + -3c = (2 * 2 + c * 2) + c 38 + -3c = (4 + 2c) + c Combine like terms: 2c + c = 3c 38 + -3c = 4 + 3c Solving 38 + -3c = 4 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 38 + -3c + -3c = 4 + 3c + -3c Combine like terms: -3c + -3c = -6c 38 + -6c = 4 + 3c + -3c Combine like terms: 3c + -3c = 0 38 + -6c = 4 + 0 38 + -6c = 4 Add '-38' to each side of the equation. 38 + -38 + -6c = 4 + -38 Combine like terms: 38 + -38 = 0 0 + -6c = 4 + -38 -6c = 4 + -38 Combine like terms: 4 + -38 = -34 -6c = -34 Divide each side by '-6'. c = 5.666666667 Simplifying c = 5.666666667
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