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Question
a plumber charges $130 to start a job plus $56 per hour. how many hours did she work if the total bill is $214? this problem can be modeled with this equation: 130 + 56x = 214. step 1: which operation should be performed to isolate the variable term? apply the property of equality. subtraction multiplication division
To isolate the variable term \(56x\) in the equation \(130 + 56x=214\), we need to get rid of the constant term \(130\) on the left - hand side. According to the subtraction property of equality, if we subtract the same number from both sides of an equation, the equation remains true. So we subtract \(130\) from both sides: \(130 + 56x-130=214 - 130\), which simplifies to \(56x = 84\). Multiplication or division would not isolate the variable term at this step.
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subtraction