(a+5)-b-4+2(b+3)=

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Solution for (a+5)-b-4+2(b+3)= equation:


Simplifying
(a + 5) + -1b + -4 + 2(b + 3) = 0

Reorder the terms:
(5 + a) + -1b + -4 + 2(b + 3) = 0

Remove parenthesis around (5 + a)
5 + a + -1b + -4 + 2(b + 3) = 0

Reorder the terms:
5 + a + -1b + -4 + 2(3 + b) = 0
5 + a + -1b + -4 + (3 * 2 + b * 2) = 0
5 + a + -1b + -4 + (6 + 2b) = 0

Reorder the terms:
5 + -4 + 6 + a + -1b + 2b = 0

Combine like terms: 5 + -4 = 1
1 + 6 + a + -1b + 2b = 0

Combine like terms: 1 + 6 = 7
7 + a + -1b + 2b = 0

Combine like terms: -1b + 2b = 1b
7 + a + 1b = 0

Solving
7 + a + 1b = 0

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 + a + -7 + 1b = 0 + -7

Reorder the terms:
7 + -7 + a + 1b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + a + 1b = 0 + -7
a + 1b = 0 + -7

Combine like terms: 0 + -7 = -7
a + 1b = -7

Add '-1b' to each side of the equation.
a + 1b + -1b = -7 + -1b

Combine like terms: 1b + -1b = 0
a + 0 = -7 + -1b
a = -7 + -1b

Simplifying
a = -7 + -1b

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