1-6b=-8(5b-8)+5

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Solution for 1-6b=-8(5b-8)+5 equation:


Simplifying
1 + -6b = -8(5b + -8) + 5

Reorder the terms:
1 + -6b = -8(-8 + 5b) + 5
1 + -6b = (-8 * -8 + 5b * -8) + 5
1 + -6b = (64 + -40b) + 5

Reorder the terms:
1 + -6b = 64 + 5 + -40b

Combine like terms: 64 + 5 = 69
1 + -6b = 69 + -40b

Solving
1 + -6b = 69 + -40b

Solving for variable 'b'.

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

Add '40b' to each side of the equation.
1 + -6b + 40b = 69 + -40b + 40b

Combine like terms: -6b + 40b = 34b
1 + 34b = 69 + -40b + 40b

Combine like terms: -40b + 40b = 0
1 + 34b = 69 + 0
1 + 34b = 69

Add '-1' to each side of the equation.
1 + -1 + 34b = 69 + -1

Combine like terms: 1 + -1 = 0
0 + 34b = 69 + -1
34b = 69 + -1

Combine like terms: 69 + -1 = 68
34b = 68

Divide each side by '34'.
b = 2

Simplifying
b = 2

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