(11b-2)-5(2b+3)=-7

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Solution for (11b-2)-5(2b+3)=-7 equation:


Simplifying
(11b + -2) + -5(2b + 3) = -7

Reorder the terms:
(-2 + 11b) + -5(2b + 3) = -7

Remove parenthesis around (-2 + 11b)
-2 + 11b + -5(2b + 3) = -7

Reorder the terms:
-2 + 11b + -5(3 + 2b) = -7
-2 + 11b + (3 * -5 + 2b * -5) = -7
-2 + 11b + (-15 + -10b) = -7

Reorder the terms:
-2 + -15 + 11b + -10b = -7

Combine like terms: -2 + -15 = -17
-17 + 11b + -10b = -7

Combine like terms: 11b + -10b = 1b
-17 + 1b = -7

Solving
-17 + 1b = -7

Solving for variable 'b'.

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

Add '17' to each side of the equation.
-17 + 17 + 1b = -7 + 17

Combine like terms: -17 + 17 = 0
0 + 1b = -7 + 17
1b = -7 + 17

Combine like terms: -7 + 17 = 10
1b = 10

Divide each side by '1'.
b = 10

Simplifying
b = 10

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