6(7b+6)-(b+5)=-10

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Solution for 6(7b+6)-(b+5)=-10 equation:


Simplifying
6(7b + 6) + -1(b + 5) = -10

Reorder the terms:
6(6 + 7b) + -1(b + 5) = -10
(6 * 6 + 7b * 6) + -1(b + 5) = -10
(36 + 42b) + -1(b + 5) = -10

Reorder the terms:
36 + 42b + -1(5 + b) = -10
36 + 42b + (5 * -1 + b * -1) = -10
36 + 42b + (-5 + -1b) = -10

Reorder the terms:
36 + -5 + 42b + -1b = -10

Combine like terms: 36 + -5 = 31
31 + 42b + -1b = -10

Combine like terms: 42b + -1b = 41b
31 + 41b = -10

Solving
31 + 41b = -10

Solving for variable 'b'.

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

Add '-31' to each side of the equation.
31 + -31 + 41b = -10 + -31

Combine like terms: 31 + -31 = 0
0 + 41b = -10 + -31
41b = -10 + -31

Combine like terms: -10 + -31 = -41
41b = -41

Divide each side by '41'.
b = -1

Simplifying
b = -1

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