6(a+1)-8=3a-17

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Solution for 6(a+1)-8=3a-17 equation:


Simplifying
6(a + 1) + -8 = 3a + -17

Reorder the terms:
6(1 + a) + -8 = 3a + -17
(1 * 6 + a * 6) + -8 = 3a + -17
(6 + 6a) + -8 = 3a + -17

Reorder the terms:
6 + -8 + 6a = 3a + -17

Combine like terms: 6 + -8 = -2
-2 + 6a = 3a + -17

Reorder the terms:
-2 + 6a = -17 + 3a

Solving
-2 + 6a = -17 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-2 + 6a + -3a = -17 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-2 + 3a = -17 + 3a + -3a

Combine like terms: 3a + -3a = 0
-2 + 3a = -17 + 0
-2 + 3a = -17

Add '2' to each side of the equation.
-2 + 2 + 3a = -17 + 2

Combine like terms: -2 + 2 = 0
0 + 3a = -17 + 2
3a = -17 + 2

Combine like terms: -17 + 2 = -15
3a = -15

Divide each side by '3'.
a = -5

Simplifying
a = -5

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