4.5(b+1)-2=49(b+3)

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Solution for 4.5(b+1)-2=49(b+3) equation: 


Simplifying
4.5(b + 1) + -2 = 49(b + 3)

Reorder the terms:
4.5(1 + b) + -2 = 49(b + 3)
(1 * 4.5 + b * 4.5) + -2 = 49(b + 3)
(4.5 + 4.5b) + -2 = 49(b + 3)

Reorder the terms:
4.5 + -2 + 4.5b = 49(b + 3)

Combine like terms: 4.5 + -2 = 2.5
2.5 + 4.5b = 49(b + 3)

Reorder the terms:
2.5 + 4.5b = 49(3 + b)
2.5 + 4.5b = (3 * 49 + b * 49)
2.5 + 4.5b = (147 + 49b)

Solving
2.5 + 4.5b = 147 + 49b

Solving for variable 'b'.

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

Add '-49b' to each side of the equation.
2.5 + 4.5b + -49b = 147 + 49b + -49b

Combine like terms: 4.5b + -49b = -44.5b
2.5 + -44.5b = 147 + 49b + -49b

Combine like terms: 49b + -49b = 0
2.5 + -44.5b = 147 + 0
2.5 + -44.5b = 147

Add '-2.5' to each side of the equation.
2.5 + -2.5 + -44.5b = 147 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -44.5b = 147 + -2.5
-44.5b = 147 + -2.5

Combine like terms: 147 + -2.5 = 144.5
-44.5b = 144.5

Divide each side by '-44.5'.
b = -3.247191011

Simplifying
b = -3.247191011

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