3(5-9b)+11=313

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Solution for 3(5-9b)+11=313 equation:


Simplifying
3(5 + -9b) + 11 = 313
(5 * 3 + -9b * 3) + 11 = 313
(15 + -27b) + 11 = 313

Reorder the terms:
15 + 11 + -27b = 313

Combine like terms: 15 + 11 = 26
26 + -27b = 313

Solving
26 + -27b = 313

Solving for variable 'b'.

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

Add '-26' to each side of the equation.
26 + -26 + -27b = 313 + -26

Combine like terms: 26 + -26 = 0
0 + -27b = 313 + -26
-27b = 313 + -26

Combine like terms: 313 + -26 = 287
-27b = 287

Divide each side by '-27'.
b = -10.62962963

Simplifying
b = -10.62962963

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