7(3a-2)+5=33+7a

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Solution for 7(3a-2)+5=33+7a equation:


Simplifying
7(3a + -2) + 5 = 33 + 7a

Reorder the terms:
7(-2 + 3a) + 5 = 33 + 7a
(-2 * 7 + 3a * 7) + 5 = 33 + 7a
(-14 + 21a) + 5 = 33 + 7a

Reorder the terms:
-14 + 5 + 21a = 33 + 7a

Combine like terms: -14 + 5 = -9
-9 + 21a = 33 + 7a

Solving
-9 + 21a = 33 + 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.
-9 + 21a + -7a = 33 + 7a + -7a

Combine like terms: 21a + -7a = 14a
-9 + 14a = 33 + 7a + -7a

Combine like terms: 7a + -7a = 0
-9 + 14a = 33 + 0
-9 + 14a = 33

Add '9' to each side of the equation.
-9 + 9 + 14a = 33 + 9

Combine like terms: -9 + 9 = 0
0 + 14a = 33 + 9
14a = 33 + 9

Combine like terms: 33 + 9 = 42
14a = 42

Divide each side by '14'.
a = 3

Simplifying
a = 3

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