(m*3)+(b*2)+8=45

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Solution for (m*3)+(b*2)+8=45 equation: 


Simplifying
(m * 3) + (b * 2) + 8 = 45

Reorder the terms for easier multiplication:
(3m) + (b * 2) + 8 = 45

Reorder the terms for easier multiplication:
(3m) + (2b) + 8 = 45

Reorder the terms:
8 + (2b) + (3m) = 45

Solving
8 + (2b) + (3m) = 45

Solving for variable 'b'.

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

Add '-8' to each side of the equation.
8 + (2b) + -8 + (3m) = 45 + -8

Reorder the terms:
8 + -8 + (2b) + (3m) = 45 + -8

Combine like terms: 8 + -8 = 0
0 + (2b) + (3m) = 45 + -8
(2b) + (3m) = 45 + -8

Combine like terms: 45 + -8 = 37
(2b) + (3m) = 37

Add '(-3m)' to each side of the equation.
(2b) + (3m) + (-3m) = 37 + (-3m)

Combine like terms: (3m) + (-3m) = 0
(2b) + 0 = 37 + (-3m)
(2b) = 37 + (-3m)

Divide each side by '2'.
b = 18.5 + (-1.5m)

Simplifying
b = 18.5 + (-1.5m)

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