(2-b)(2+5)-11=24

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Solution for (2-b)(2+5)-11=24 equation:


Simplifying
(2 + -1b)(2 + 5) + -11 = 24

Combine like terms: 2 + 5 = 7
(2 + -1b)(7) + -11 = 24

Reorder the terms for easier multiplication:
7(2 + -1b) + -11 = 24
(2 * 7 + -1b * 7) + -11 = 24
(14 + -7b) + -11 = 24

Reorder the terms:
14 + -11 + -7b = 24

Combine like terms: 14 + -11 = 3
3 + -7b = 24

Solving
3 + -7b = 24

Solving for variable 'b'.

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

Add '-3' to each side of the equation.
3 + -3 + -7b = 24 + -3

Combine like terms: 3 + -3 = 0
0 + -7b = 24 + -3
-7b = 24 + -3

Combine like terms: 24 + -3 = 21
-7b = 21

Divide each side by '-7'.
b = -3

Simplifying
b = -3

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