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|5\left(-10\right)+3|
Subtract 7 from -3 to get -10.
|-50+3|
Multiply 5 and -10 to get -50.
|-47|
Add -50 and 3 to get -47.
47
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -47 is 47.