3(a+3)-(a+2)=8

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


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

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

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

Reorder the terms:
9 + -2 + 3a + -1a = 8

Combine like terms: 9 + -2 = 7
7 + 3a + -1a = 8

Combine like terms: 3a + -1a = 2a
7 + 2a = 8

Solving
7 + 2a = 8

Solving for variable 'a'.

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

Add '-7' to each side of the equation.
7 + -7 + 2a = 8 + -7

Combine like terms: 7 + -7 = 0
0 + 2a = 8 + -7
2a = 8 + -7

Combine like terms: 8 + -7 = 1
2a = 1

Divide each side by '2'.
a = 0.5

Simplifying
a = 0.5

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