6a+2=3(a-2)+11

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Solution for 6a+2=3(a-2)+11 equation: 


Simplifying
6a + 2 = 3(a + -2) + 11

Reorder the terms:
2 + 6a = 3(a + -2) + 11

Reorder the terms:
2 + 6a = 3(-2 + a) + 11
2 + 6a = (-2 * 3 + a * 3) + 11
2 + 6a = (-6 + 3a) + 11

Reorder the terms:
2 + 6a = -6 + 11 + 3a

Combine like terms: -6 + 11 = 5
2 + 6a = 5 + 3a

Solving
2 + 6a = 5 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
2 + 6a + -3a = 5 + 3a + -3a

Combine like terms: 6a + -3a = 3a
2 + 3a = 5 + 3a + -3a

Combine like terms: 3a + -3a = 0
2 + 3a = 5 + 0
2 + 3a = 5

Add '-2' to each side of the equation.
2 + -2 + 3a = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 3a = 5 + -2
3a = 5 + -2

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

Divide each side by '3'.
a = 1

Simplifying
a = 1

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