2(a+8)-3(6a+1)=29

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Solution for 2(a+8)-3(6a+1)=29 equation: 


Simplifying
2(a + 8) + -3(6a + 1) = 29

Reorder the terms:
2(8 + a) + -3(6a + 1) = 29
(8 * 2 + a * 2) + -3(6a + 1) = 29
(16 + 2a) + -3(6a + 1) = 29

Reorder the terms:
16 + 2a + -3(1 + 6a) = 29
16 + 2a + (1 * -3 + 6a * -3) = 29
16 + 2a + (-3 + -18a) = 29

Reorder the terms:
16 + -3 + 2a + -18a = 29

Combine like terms: 16 + -3 = 13
13 + 2a + -18a = 29

Combine like terms: 2a + -18a = -16a
13 + -16a = 29

Solving
13 + -16a = 29

Solving for variable 'a'.

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

Add '-13' to each side of the equation.
13 + -13 + -16a = 29 + -13

Combine like terms: 13 + -13 = 0
0 + -16a = 29 + -13
-16a = 29 + -13

Combine like terms: 29 + -13 = 16
-16a = 16

Divide each side by '-16'.
a = -1

Simplifying
a = -1

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