-7(6b+1)+5b=5(-8b+11)+7

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Solution for -7(6b+1)+5b=5(-8b+11)+7 equation:


Simplifying
-7(6b + 1) + 5b = 5(-8b + 11) + 7

Reorder the terms:
-7(1 + 6b) + 5b = 5(-8b + 11) + 7
(1 * -7 + 6b * -7) + 5b = 5(-8b + 11) + 7
(-7 + -42b) + 5b = 5(-8b + 11) + 7

Combine like terms: -42b + 5b = -37b
-7 + -37b = 5(-8b + 11) + 7

Reorder the terms:
-7 + -37b = 5(11 + -8b) + 7
-7 + -37b = (11 * 5 + -8b * 5) + 7
-7 + -37b = (55 + -40b) + 7

Reorder the terms:
-7 + -37b = 55 + 7 + -40b

Combine like terms: 55 + 7 = 62
-7 + -37b = 62 + -40b

Solving
-7 + -37b = 62 + -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.
-7 + -37b + 40b = 62 + -40b + 40b

Combine like terms: -37b + 40b = 3b
-7 + 3b = 62 + -40b + 40b

Combine like terms: -40b + 40b = 0
-7 + 3b = 62 + 0
-7 + 3b = 62

Add '7' to each side of the equation.
-7 + 7 + 3b = 62 + 7

Combine like terms: -7 + 7 = 0
0 + 3b = 62 + 7
3b = 62 + 7

Combine like terms: 62 + 7 = 69
3b = 69

Divide each side by '3'.
b = 23

Simplifying
b = 23

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