7(a-3)=4a+2

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


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

Reorder the terms:
7(-3 + a) = 4a + 2
(-3 * 7 + a * 7) = 4a + 2
(-21 + 7a) = 4a + 2

Reorder the terms:
-21 + 7a = 2 + 4a

Solving
-21 + 7a = 2 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-21 + 7a + -4a = 2 + 4a + -4a

Combine like terms: 7a + -4a = 3a
-21 + 3a = 2 + 4a + -4a

Combine like terms: 4a + -4a = 0
-21 + 3a = 2 + 0
-21 + 3a = 2

Add '21' to each side of the equation.
-21 + 21 + 3a = 2 + 21

Combine like terms: -21 + 21 = 0
0 + 3a = 2 + 21
3a = 2 + 21

Combine like terms: 2 + 21 = 23
3a = 23

Divide each side by '3'.
a = 7.666666667

Simplifying
a = 7.666666667

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