4(a-3)=6a+11

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Solution for 4(a-3)=6a+11 equation:


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

Reorder the terms:
4(-3 + a) = 6a + 11
(-3 * 4 + a * 4) = 6a + 11
(-12 + 4a) = 6a + 11

Reorder the terms:
-12 + 4a = 11 + 6a

Solving
-12 + 4a = 11 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-12 + 4a + -6a = 11 + 6a + -6a

Combine like terms: 4a + -6a = -2a
-12 + -2a = 11 + 6a + -6a

Combine like terms: 6a + -6a = 0
-12 + -2a = 11 + 0
-12 + -2a = 11

Add '12' to each side of the equation.
-12 + 12 + -2a = 11 + 12

Combine like terms: -12 + 12 = 0
0 + -2a = 11 + 12
-2a = 11 + 12

Combine like terms: 11 + 12 = 23
-2a = 23

Divide each side by '-2'.
a = -11.5

Simplifying
a = -11.5

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