6a-5=11(a-2)

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Solution for 6a-5=11(a-2) equation:


Simplifying
6a + -5 = 11(a + -2)

Reorder the terms:
-5 + 6a = 11(a + -2)

Reorder the terms:
-5 + 6a = 11(-2 + a)
-5 + 6a = (-2 * 11 + a * 11)
-5 + 6a = (-22 + 11a)

Solving
-5 + 6a = -22 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
-5 + 6a + -11a = -22 + 11a + -11a

Combine like terms: 6a + -11a = -5a
-5 + -5a = -22 + 11a + -11a

Combine like terms: 11a + -11a = 0
-5 + -5a = -22 + 0
-5 + -5a = -22

Add '5' to each side of the equation.
-5 + 5 + -5a = -22 + 5

Combine like terms: -5 + 5 = 0
0 + -5a = -22 + 5
-5a = -22 + 5

Combine like terms: -22 + 5 = -17
-5a = -17

Divide each side by '-5'.
a = 3.4

Simplifying
a = 3.4

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