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

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


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

Reorder the terms:
6(2 + a) = 11(a + 3)
(2 * 6 + a * 6) = 11(a + 3)
(12 + 6a) = 11(a + 3)

Reorder the terms:
12 + 6a = 11(3 + a)
12 + 6a = (3 * 11 + a * 11)
12 + 6a = (33 + 11a)

Solving
12 + 6a = 33 + 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.
12 + 6a + -11a = 33 + 11a + -11a

Combine like terms: 6a + -11a = -5a
12 + -5a = 33 + 11a + -11a

Combine like terms: 11a + -11a = 0
12 + -5a = 33 + 0
12 + -5a = 33

Add '-12' to each side of the equation.
12 + -12 + -5a = 33 + -12

Combine like terms: 12 + -12 = 0
0 + -5a = 33 + -12
-5a = 33 + -12

Combine like terms: 33 + -12 = 21
-5a = 21

Divide each side by '-5'.
a = -4.2

Simplifying
a = -4.2

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