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Math  /  Algebra

Question2x+2y+2A+2b=x=2,y=4,A=3,b=−2\begin{array}{l}2 x+2 y+2 A+2 b= \\ x=2, y=4, A=3, b=-2\end{array}

Studdy Solution

STEP 1

1. The equation 2x+2y+2A+2b=2x + 2y + 2A + 2b = is asking us to evaluate the expression given the values of xx, yy, AA, and bb.
2. The values provided are x=2x = 2, y=4y = 4, A=3A = 3, and b=−2b = -2.
3. The equation involves basic arithmetic operations, specifically multiplication and addition.

STEP 2

1. Substitute the given values into the equation.
2. Perform the arithmetic operations to simplify the expression.
3. Calculate the final result.

STEP 3

Substitute the given values into the equation:
2(2)+2(4)+2(3)+2(−2) 2(2) + 2(4) + 2(3) + 2(-2)

STEP 4

Perform the multiplication for each term:
4+8+6−4 4 + 8 + 6 - 4

STEP 5

Add and subtract the terms in sequence:
4+8=12 4 + 8 = 12
12+6=18 12 + 6 = 18
18−4=14 18 - 4 = 14

STEP 6

The final result of the expression is:
14 \boxed{14}

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