13-1(2a+2)=2(a+2)+3a

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Solution for 13-1(2a+2)=2(a+2)+3a equation: 


Simplifying
13 + -1(2a + 2) = 2(a + 2) + 3a

Reorder the terms:
13 + -1(2 + 2a) = 2(a + 2) + 3a
13 + (2 * -1 + 2a * -1) = 2(a + 2) + 3a
13 + (-2 + -2a) = 2(a + 2) + 3a

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

Reorder the terms:
11 + -2a = 2(2 + a) + 3a
11 + -2a = (2 * 2 + a * 2) + 3a
11 + -2a = (4 + 2a) + 3a

Combine like terms: 2a + 3a = 5a
11 + -2a = 4 + 5a

Solving
11 + -2a = 4 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
11 + -2a + -5a = 4 + 5a + -5a

Combine like terms: -2a + -5a = -7a
11 + -7a = 4 + 5a + -5a

Combine like terms: 5a + -5a = 0
11 + -7a = 4 + 0
11 + -7a = 4

Add '-11' to each side of the equation.
11 + -11 + -7a = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7a = 4 + -11
-7a = 4 + -11

Combine like terms: 4 + -11 = -7
-7a = -7

Divide each side by '-7'.
a = 1

Simplifying
a = 1

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