10+2(2a+1)=7a

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Solution for 10+2(2a+1)=7a equation:


Simplifying
10 + 2(2a + 1) = 7a

Reorder the terms:
10 + 2(1 + 2a) = 7a
10 + (1 * 2 + 2a * 2) = 7a
10 + (2 + 4a) = 7a

Combine like terms: 10 + 2 = 12
12 + 4a = 7a

Solving
12 + 4a = 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
12 + 4a + -7a = 7a + -7a

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

Combine like terms: 7a + -7a = 0
12 + -3a = 0

Add '-12' to each side of the equation.
12 + -12 + -3a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3a = 0 + -12
-3a = 0 + -12

Combine like terms: 0 + -12 = -12
-3a = -12

Divide each side by '-3'.
a = 4

Simplifying
a = 4

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