6a-4(2a+3)=7a

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Solution for 6a-4(2a+3)=7a equation:


Simplifying
6a + -4(2a + 3) = 7a

Reorder the terms:
6a + -4(3 + 2a) = 7a
6a + (3 * -4 + 2a * -4) = 7a
6a + (-12 + -8a) = 7a

Reorder the terms:
-12 + 6a + -8a = 7a

Combine like terms: 6a + -8a = -2a
-12 + -2a = 7a

Solving
-12 + -2a = 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-12 + -2a + -7a = 7a + -7a

Combine like terms: -2a + -7a = -9a
-12 + -9a = 7a + -7a

Combine like terms: 7a + -7a = 0
-12 + -9a = 0

Add '12' to each side of the equation.
-12 + 12 + -9a = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -9a = 0 + 12
-9a = 0 + 12

Combine like terms: 0 + 12 = 12
-9a = 12

Divide each side by '-9'.
a = -1.333333333

Simplifying
a = -1.333333333

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