(2a+3)+(3a+7)=40

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Solution for (2a+3)+(3a+7)=40 equation:


Simplifying
(2a + 3) + (3a + 7) = 40

Reorder the terms:
(3 + 2a) + (3a + 7) = 40

Remove parenthesis around (3 + 2a)
3 + 2a + (3a + 7) = 40

Reorder the terms:
3 + 2a + (7 + 3a) = 40

Remove parenthesis around (7 + 3a)
3 + 2a + 7 + 3a = 40

Reorder the terms:
3 + 7 + 2a + 3a = 40

Combine like terms: 3 + 7 = 10
10 + 2a + 3a = 40

Combine like terms: 2a + 3a = 5a
10 + 5a = 40

Solving
10 + 5a = 40

Solving for variable 'a'.

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

Add '-10' to each side of the equation.
10 + -10 + 5a = 40 + -10

Combine like terms: 10 + -10 = 0
0 + 5a = 40 + -10
5a = 40 + -10

Combine like terms: 40 + -10 = 30
5a = 30

Divide each side by '5'.
a = 6

Simplifying
a = 6

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