Question 5/6 (12+53-18)-(28+15-78)

To solve the expression \((12+53-18)-(28+15-78)\), we need to follow the order of operations (PEMDAS/BODMAS) and simplify step by step.<br /><br />First, let's simplify inside the parentheses:<br /><br />1. Simplify the first part of the expression inside the first set of parentheses:<br /> \[<br /> 12 + 53 - 18 = 65 - 18 = 47<br /> \]<br /><br />2. Simplify the second part of the expression inside the second set of parentheses:<br /> \[<br /> 28 + 15 - 78 = 43 - 78 = -35<br /> \]<br /><br />Now, substitute these simplified values back into the original expression:<br />\[<br />47 - (-35)<br />\]<br /><br />Subtracting a negative number is the same as adding the positive equivalent of that number:<br />\[<br />47 + 35 = 82<br />\]<br /><br />Therefore, the value of the expression \((12+53-18)-(28+15-78)\) is:<br />\[<br />\boxed{82}<br />\]