2(b+4)-(a+b)=-7

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Solution for 2(b+4)-(a+b)=-7 equation: 


Simplifying
2(b + 4) + -1(a + b) = -7

Reorder the terms:
2(4 + b) + -1(a + b) = -7
(4 * 2 + b * 2) + -1(a + b) = -7
(8 + 2b) + -1(a + b) = -7
8 + 2b + (a * -1 + b * -1) = -7
8 + 2b + (-1a + -1b) = -7

Reorder the terms:
8 + -1a + 2b + -1b = -7

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

Solving
8 + -1a + 1b = -7

Solving for variable 'a'.

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

Add '-8' to each side of the equation.
8 + -1a + -8 + 1b = -7 + -8

Reorder the terms:
8 + -8 + -1a + 1b = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -1a + 1b = -7 + -8
-1a + 1b = -7 + -8

Combine like terms: -7 + -8 = -15
-1a + 1b = -15

Add '-1b' to each side of the equation.
-1a + 1b + -1b = -15 + -1b

Combine like terms: 1b + -1b = 0
-1a + 0 = -15 + -1b
-1a = -15 + -1b

Divide each side by '-1'.
a = 15 + b

Simplifying
a = 15 + b

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