3(5b+2.5)=4.5b-2

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Solution for 3(5b+2.5)=4.5b-2 equation:


Simplifying
3(5b + 2.5) = 4.5b + -2

Reorder the terms:
3(2.5 + 5b) = 4.5b + -2
(2.5 * 3 + 5b * 3) = 4.5b + -2
(7.5 + 15b) = 4.5b + -2

Reorder the terms:
7.5 + 15b = -2 + 4.5b

Solving
7.5 + 15b = -2 + 4.5b

Solving for variable 'b'.

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

Add '-4.5b' to each side of the equation.
7.5 + 15b + -4.5b = -2 + 4.5b + -4.5b

Combine like terms: 15b + -4.5b = 10.5b
7.5 + 10.5b = -2 + 4.5b + -4.5b

Combine like terms: 4.5b + -4.5b = 0.0
7.5 + 10.5b = -2 + 0.0
7.5 + 10.5b = -2

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 10.5b = -2 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 10.5b = -2 + -7.5
10.5b = -2 + -7.5

Combine like terms: -2 + -7.5 = -9.5
10.5b = -9.5

Divide each side by '10.5'.
b = -0.9047619048

Simplifying
b = -0.9047619048

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