2b+5(7b+1)=-24+8b

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Solution for 2b+5(7b+1)=-24+8b equation:


Simplifying
2b + 5(7b + 1) = -24 + 8b

Reorder the terms:
2b + 5(1 + 7b) = -24 + 8b
2b + (1 * 5 + 7b * 5) = -24 + 8b
2b + (5 + 35b) = -24 + 8b

Reorder the terms:
5 + 2b + 35b = -24 + 8b

Combine like terms: 2b + 35b = 37b
5 + 37b = -24 + 8b

Solving
5 + 37b = -24 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
5 + 37b + -8b = -24 + 8b + -8b

Combine like terms: 37b + -8b = 29b
5 + 29b = -24 + 8b + -8b

Combine like terms: 8b + -8b = 0
5 + 29b = -24 + 0
5 + 29b = -24

Add '-5' to each side of the equation.
5 + -5 + 29b = -24 + -5

Combine like terms: 5 + -5 = 0
0 + 29b = -24 + -5
29b = -24 + -5

Combine like terms: -24 + -5 = -29
29b = -29

Divide each side by '29'.
b = -1

Simplifying
b = -1

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