10(3a+6)-20=4(7a+8)+a

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Solution for 10(3a+6)-20=4(7a+8)+a equation: 


Simplifying
10(3a + 6) + -20 = 4(7a + 8) + a

Reorder the terms:
10(6 + 3a) + -20 = 4(7a + 8) + a
(6 * 10 + 3a * 10) + -20 = 4(7a + 8) + a
(60 + 30a) + -20 = 4(7a + 8) + a

Reorder the terms:
60 + -20 + 30a = 4(7a + 8) + a

Combine like terms: 60 + -20 = 40
40 + 30a = 4(7a + 8) + a

Reorder the terms:
40 + 30a = 4(8 + 7a) + a
40 + 30a = (8 * 4 + 7a * 4) + a
40 + 30a = (32 + 28a) + a

Combine like terms: 28a + a = 29a
40 + 30a = 32 + 29a

Solving
40 + 30a = 32 + 29a

Solving for variable 'a'.

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

Add '-29a' to each side of the equation.
40 + 30a + -29a = 32 + 29a + -29a

Combine like terms: 30a + -29a = 1a
40 + 1a = 32 + 29a + -29a

Combine like terms: 29a + -29a = 0
40 + 1a = 32 + 0
40 + 1a = 32

Add '-40' to each side of the equation.
40 + -40 + 1a = 32 + -40

Combine like terms: 40 + -40 = 0
0 + 1a = 32 + -40
1a = 32 + -40

Combine like terms: 32 + -40 = -8
1a = -8

Divide each side by '1'.
a = -8

Simplifying
a = -8

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