8(a-4)+3a=2(4a+9)+1

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Solution for 8(a-4)+3a=2(4a+9)+1 equation:


Simplifying
8(a + -4) + 3a = 2(4a + 9) + 1

Reorder the terms:
8(-4 + a) + 3a = 2(4a + 9) + 1
(-4 * 8 + a * 8) + 3a = 2(4a + 9) + 1
(-32 + 8a) + 3a = 2(4a + 9) + 1

Combine like terms: 8a + 3a = 11a
-32 + 11a = 2(4a + 9) + 1

Reorder the terms:
-32 + 11a = 2(9 + 4a) + 1
-32 + 11a = (9 * 2 + 4a * 2) + 1
-32 + 11a = (18 + 8a) + 1

Reorder the terms:
-32 + 11a = 18 + 1 + 8a

Combine like terms: 18 + 1 = 19
-32 + 11a = 19 + 8a

Solving
-32 + 11a = 19 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-32 + 11a + -8a = 19 + 8a + -8a

Combine like terms: 11a + -8a = 3a
-32 + 3a = 19 + 8a + -8a

Combine like terms: 8a + -8a = 0
-32 + 3a = 19 + 0
-32 + 3a = 19

Add '32' to each side of the equation.
-32 + 32 + 3a = 19 + 32

Combine like terms: -32 + 32 = 0
0 + 3a = 19 + 32
3a = 19 + 32

Combine like terms: 19 + 32 = 51
3a = 51

Divide each side by '3'.
a = 17

Simplifying
a = 17

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