-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 = -5a
32 + -5a = 2(4a + 9) + 1

Reorder the terms:
32 + -5a = 2(9 + 4a) + 1
32 + -5a = (9 * 2 + 4a * 2) + 1
32 + -5a = (18 + 8a) + 1

Reorder the terms:
32 + -5a = 18 + 1 + 8a

Combine like terms: 18 + 1 = 19
32 + -5a = 19 + 8a

Solving
32 + -5a = 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 + -5a + -8a = 19 + 8a + -8a

Combine like terms: -5a + -8a = -13a
32 + -13a = 19 + 8a + -8a

Combine like terms: 8a + -8a = 0
32 + -13a = 19 + 0
32 + -13a = 19

Add '-32' to each side of the equation.
32 + -32 + -13a = 19 + -32

Combine like terms: 32 + -32 = 0
0 + -13a = 19 + -32
-13a = 19 + -32

Combine like terms: 19 + -32 = -13
-13a = -13

Divide each side by '-13'.
a = 1

Simplifying
a = 1

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