7+3(2a-5)-(6a-8b)-2b=

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Solution for 7+3(2a-5)-(6a-8b)-2b= equation: 


Simplifying
7 + 3(2a + -5) + -1(6a + -8b) + -2b = 0

Reorder the terms:
7 + 3(-5 + 2a) + -1(6a + -8b) + -2b = 0
7 + (-5 * 3 + 2a * 3) + -1(6a + -8b) + -2b = 0
7 + (-15 + 6a) + -1(6a + -8b) + -2b = 0
7 + -15 + 6a + (6a * -1 + -8b * -1) + -2b = 0
7 + -15 + 6a + (-6a + 8b) + -2b = 0

Combine like terms: 7 + -15 = -8
-8 + 6a + -6a + 8b + -2b = 0

Combine like terms: 6a + -6a = 0
-8 + 0 + 8b + -2b = 0
-8 + 8b + -2b = 0

Combine like terms: 8b + -2b = 6b
-8 + 6b = 0

Solving
-8 + 6b = 0

Solving for variable 'b'.

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

Add '8' to each side of the equation.
-8 + 8 + 6b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 6b = 0 + 8
6b = 0 + 8

Combine like terms: 0 + 8 = 8
6b = 8

Divide each side by '6'.
b = 1.333333333

Simplifying
b = 1.333333333

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