10b-4(b+1)=2(3b+5)-5(2b+3)-26

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Solution for 10b-4(b+1)=2(3b+5)-5(2b+3)-26 equation: 


Simplifying
10b + -4(b + 1) = 2(3b + 5) + -5(2b + 3) + -26

Reorder the terms:
10b + -4(1 + b) = 2(3b + 5) + -5(2b + 3) + -26
10b + (1 * -4 + b * -4) = 2(3b + 5) + -5(2b + 3) + -26
10b + (-4 + -4b) = 2(3b + 5) + -5(2b + 3) + -26

Reorder the terms:
-4 + 10b + -4b = 2(3b + 5) + -5(2b + 3) + -26

Combine like terms: 10b + -4b = 6b
-4 + 6b = 2(3b + 5) + -5(2b + 3) + -26

Reorder the terms:
-4 + 6b = 2(5 + 3b) + -5(2b + 3) + -26
-4 + 6b = (5 * 2 + 3b * 2) + -5(2b + 3) + -26
-4 + 6b = (10 + 6b) + -5(2b + 3) + -26

Reorder the terms:
-4 + 6b = 10 + 6b + -5(3 + 2b) + -26
-4 + 6b = 10 + 6b + (3 * -5 + 2b * -5) + -26
-4 + 6b = 10 + 6b + (-15 + -10b) + -26

Reorder the terms:
-4 + 6b = 10 + -15 + -26 + 6b + -10b

Combine like terms: 10 + -15 = -5
-4 + 6b = -5 + -26 + 6b + -10b

Combine like terms: -5 + -26 = -31
-4 + 6b = -31 + 6b + -10b

Combine like terms: 6b + -10b = -4b
-4 + 6b = -31 + -4b

Solving
-4 + 6b = -31 + -4b

Solving for variable 'b'.

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

Add '4b' to each side of the equation.
-4 + 6b + 4b = -31 + -4b + 4b

Combine like terms: 6b + 4b = 10b
-4 + 10b = -31 + -4b + 4b

Combine like terms: -4b + 4b = 0
-4 + 10b = -31 + 0
-4 + 10b = -31

Add '4' to each side of the equation.
-4 + 4 + 10b = -31 + 4

Combine like terms: -4 + 4 = 0
0 + 10b = -31 + 4
10b = -31 + 4

Combine like terms: -31 + 4 = -27
10b = -27

Divide each side by '10'.
b = -2.7

Simplifying
b = -2.7

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