2a-8=2(a+1)+16a+7

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Solution for 2a-8=2(a+1)+16a+7 equation:


Simplifying
2a + -8 = 2(a + 1) + 16a + 7

Reorder the terms:
-8 + 2a = 2(a + 1) + 16a + 7

Reorder the terms:
-8 + 2a = 2(1 + a) + 16a + 7
-8 + 2a = (1 * 2 + a * 2) + 16a + 7
-8 + 2a = (2 + 2a) + 16a + 7

Reorder the terms:
-8 + 2a = 2 + 7 + 2a + 16a

Combine like terms: 2 + 7 = 9
-8 + 2a = 9 + 2a + 16a

Combine like terms: 2a + 16a = 18a
-8 + 2a = 9 + 18a

Solving
-8 + 2a = 9 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
-8 + 2a + -18a = 9 + 18a + -18a

Combine like terms: 2a + -18a = -16a
-8 + -16a = 9 + 18a + -18a

Combine like terms: 18a + -18a = 0
-8 + -16a = 9 + 0
-8 + -16a = 9

Add '8' to each side of the equation.
-8 + 8 + -16a = 9 + 8

Combine like terms: -8 + 8 = 0
0 + -16a = 9 + 8
-16a = 9 + 8

Combine like terms: 9 + 8 = 17
-16a = 17

Divide each side by '-16'.
a = -1.0625

Simplifying
a = -1.0625

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