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QuestionSimplify: −6+{14+2[60−9(1+3)]}-6+\{14+2[60-9(1+3)]\}

Studdy Solution

STEP 1

Assumptions1. We are given the expression −6+{14+[60−9(1+3)]}-6+\{14+[60-9(1+3)]\}. We will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMAS.

STEP 2

First, we need to simplify the expression inside the parentheses.
−6+{14+2[60−9(4)]}-6+\{14+2[60-9(4)]\}

STEP 3

Next, we need to perform the multiplication inside the brackets.
−6+{14+2[60−36]}-6+\{14+2[60-36]\}

STEP 4

Then, we need to perform the subtraction inside the brackets.
−6+{14+2[24]}-6+\{14+2[24]\}

STEP 5

Next, we need to perform the multiplication inside the brackets.
−+{14+48}-+\{14+48\}

STEP 6

Then, we need to perform the addition inside the braces.
−6+{62}-6+\{62\}

STEP 7

Finally, we need to perform the addition outside the braces.
−6+62-6+62

STEP 8

Calculate the final result.
5656The simplified form of the given expression is56.

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