2(2a+3)+3(a+2)=40

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Solution for 2(2a+3)+3(a+2)=40 equation:


Simplifying
2(2a + 3) + 3(a + 2) = 40

Reorder the terms:
2(3 + 2a) + 3(a + 2) = 40
(3 * 2 + 2a * 2) + 3(a + 2) = 40
(6 + 4a) + 3(a + 2) = 40

Reorder the terms:
6 + 4a + 3(2 + a) = 40
6 + 4a + (2 * 3 + a * 3) = 40
6 + 4a + (6 + 3a) = 40

Reorder the terms:
6 + 6 + 4a + 3a = 40

Combine like terms: 6 + 6 = 12
12 + 4a + 3a = 40

Combine like terms: 4a + 3a = 7a
12 + 7a = 40

Solving
12 + 7a = 40

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + 7a = 40 + -12

Combine like terms: 12 + -12 = 0
0 + 7a = 40 + -12
7a = 40 + -12

Combine like terms: 40 + -12 = 28
7a = 28

Divide each side by '7'.
a = 4

Simplifying
a = 4

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