(9(b+5)-18)-(3(b-3)+3)=

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Solution for (9(b+5)-18)-(3(b-3)+3)= equation:


Simplifying
(9(b + 5) + -18) + -1(3(b + -3) + 3) = 0

Reorder the terms:
(9(5 + b) + -18) + -1(3(b + -3) + 3) = 0
((5 * 9 + b * 9) + -18) + -1(3(b + -3) + 3) = 0
((45 + 9b) + -18) + -1(3(b + -3) + 3) = 0

Reorder the terms:
(45 + -18 + 9b) + -1(3(b + -3) + 3) = 0

Combine like terms: 45 + -18 = 27
(27 + 9b) + -1(3(b + -3) + 3) = 0

Remove parenthesis around (27 + 9b)
27 + 9b + -1(3(b + -3) + 3) = 0

Reorder the terms:
27 + 9b + -1(3(-3 + b) + 3) = 0
27 + 9b + -1((-3 * 3 + b * 3) + 3) = 0
27 + 9b + -1((-9 + 3b) + 3) = 0

Reorder the terms:
27 + 9b + -1(-9 + 3 + 3b) = 0

Combine like terms: -9 + 3 = -6
27 + 9b + -1(-6 + 3b) = 0
27 + 9b + (-6 * -1 + 3b * -1) = 0
27 + 9b + (6 + -3b) = 0

Reorder the terms:
27 + 6 + 9b + -3b = 0

Combine like terms: 27 + 6 = 33
33 + 9b + -3b = 0

Combine like terms: 9b + -3b = 6b
33 + 6b = 0

Solving
33 + 6b = 0

Solving for variable 'b'.

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

Add '-33' to each side of the equation.
33 + -33 + 6b = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 6b = 0 + -33
6b = 0 + -33

Combine like terms: 0 + -33 = -33
6b = -33

Divide each side by '6'.
b = -5.5

Simplifying
b = -5.5

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