3(a+2)+(a-1)=17

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Solution for 3(a+2)+(a-1)=17 equation:


Simplifying
3(a + 2) + (a + -1) = 17

Reorder the terms:
3(2 + a) + (a + -1) = 17
(2 * 3 + a * 3) + (a + -1) = 17
(6 + 3a) + (a + -1) = 17

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

Remove parenthesis around (-1 + a)
6 + 3a + -1 + a = 17

Reorder the terms:
6 + -1 + 3a + a = 17

Combine like terms: 6 + -1 = 5
5 + 3a + a = 17

Combine like terms: 3a + a = 4a
5 + 4a = 17

Solving
5 + 4a = 17

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + -5 + 4a = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 4a = 17 + -5
4a = 17 + -5

Combine like terms: 17 + -5 = 12
4a = 12

Divide each side by '4'.
a = 3

Simplifying
a = 3

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