36b+18(9-b)=b+9

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Solution for 36b+18(9-b)=b+9 equation:


Simplifying
36b + 18(9 + -1b) = b + 9
36b + (9 * 18 + -1b * 18) = b + 9
36b + (162 + -18b) = b + 9

Reorder the terms:
162 + 36b + -18b = b + 9

Combine like terms: 36b + -18b = 18b
162 + 18b = b + 9

Reorder the terms:
162 + 18b = 9 + b

Solving
162 + 18b = 9 + b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
162 + 18b + -1b = 9 + b + -1b

Combine like terms: 18b + -1b = 17b
162 + 17b = 9 + b + -1b

Combine like terms: b + -1b = 0
162 + 17b = 9 + 0
162 + 17b = 9

Add '-162' to each side of the equation.
162 + -162 + 17b = 9 + -162

Combine like terms: 162 + -162 = 0
0 + 17b = 9 + -162
17b = 9 + -162

Combine like terms: 9 + -162 = -153
17b = -153

Divide each side by '17'.
b = -9

Simplifying
b = -9

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