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some equations such as 11z minus 4z plus 2z equals 27 have more than one term with the same variable you can see there are three terms with the z variable 11z 4z and 2z terms that have the same variable are called like terms and the numbers in front of the variables are called the coefficients if a variable does not have a number in front of it the coefficient is 1. these like terms can be combined through addition or subtraction of their coefficients for instance in our example of 11z minus 4z plus 2z equals 27 we can combine the like terms for the variable z so 11z minus 4z is 7z and we can add 7z and 2z which equals 9z so now we have the equation 9z equals 27 and we can solve by z by dividing both sides by 9 which gives us a solution of z equals 3. next we can check our solution as we plug the value of z equals 3 into the original equation 11 times 3 minus 4 times 3 plus 2 times 3 equals 27. now we have 33 minus 12 plus 6 equals 27. 33 minus 12 is 21 we add 6 to that and get 27. 27
