5(9b+31)-4(4b+9)=38b-2b

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Solution for 5(9b+31)-4(4b+9)=38b-2b equation:


Simplifying
5(9b + 31) + -4(4b + 9) = 38b + -2b

Reorder the terms:
5(31 + 9b) + -4(4b + 9) = 38b + -2b
(31 * 5 + 9b * 5) + -4(4b + 9) = 38b + -2b
(155 + 45b) + -4(4b + 9) = 38b + -2b

Reorder the terms:
155 + 45b + -4(9 + 4b) = 38b + -2b
155 + 45b + (9 * -4 + 4b * -4) = 38b + -2b
155 + 45b + (-36 + -16b) = 38b + -2b

Reorder the terms:
155 + -36 + 45b + -16b = 38b + -2b

Combine like terms: 155 + -36 = 119
119 + 45b + -16b = 38b + -2b

Combine like terms: 45b + -16b = 29b
119 + 29b = 38b + -2b

Combine like terms: 38b + -2b = 36b
119 + 29b = 36b

Solving
119 + 29b = 36b

Solving for variable 'b'.

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

Add '-36b' to each side of the equation.
119 + 29b + -36b = 36b + -36b

Combine like terms: 29b + -36b = -7b
119 + -7b = 36b + -36b

Combine like terms: 36b + -36b = 0
119 + -7b = 0

Add '-119' to each side of the equation.
119 + -119 + -7b = 0 + -119

Combine like terms: 119 + -119 = 0
0 + -7b = 0 + -119
-7b = 0 + -119

Combine like terms: 0 + -119 = -119
-7b = -119

Divide each side by '-7'.
b = 17

Simplifying
b = 17

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