7a+3(2a+1)=32+2a+4

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Solution for 7a+3(2a+1)=32+2a+4 equation: 


Simplifying
7a + 3(2a + 1) = 32 + 2a + 4

Reorder the terms:
7a + 3(1 + 2a) = 32 + 2a + 4
7a + (1 * 3 + 2a * 3) = 32 + 2a + 4
7a + (3 + 6a) = 32 + 2a + 4

Reorder the terms:
3 + 7a + 6a = 32 + 2a + 4

Combine like terms: 7a + 6a = 13a
3 + 13a = 32 + 2a + 4

Reorder the terms:
3 + 13a = 32 + 4 + 2a

Combine like terms: 32 + 4 = 36
3 + 13a = 36 + 2a

Solving
3 + 13a = 36 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
3 + 13a + -2a = 36 + 2a + -2a

Combine like terms: 13a + -2a = 11a
3 + 11a = 36 + 2a + -2a

Combine like terms: 2a + -2a = 0
3 + 11a = 36 + 0
3 + 11a = 36

Add '-3' to each side of the equation.
3 + -3 + 11a = 36 + -3

Combine like terms: 3 + -3 = 0
0 + 11a = 36 + -3
11a = 36 + -3

Combine like terms: 36 + -3 = 33
11a = 33

Divide each side by '11'.
a = 3

Simplifying
a = 3

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