1.5(b+2)+15=2b-9

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Solution for 1.5(b+2)+15=2b-9 equation:


Simplifying
1.5(b + 2) + 15 = 2b + -9

Reorder the terms:
1.5(2 + b) + 15 = 2b + -9
(2 * 1.5 + b * 1.5) + 15 = 2b + -9
(3 + 1.5b) + 15 = 2b + -9

Reorder the terms:
3 + 15 + 1.5b = 2b + -9

Combine like terms: 3 + 15 = 18
18 + 1.5b = 2b + -9

Reorder the terms:
18 + 1.5b = -9 + 2b

Solving
18 + 1.5b = -9 + 2b

Solving for variable 'b'.

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

Add '-2b' to each side of the equation.
18 + 1.5b + -2b = -9 + 2b + -2b

Combine like terms: 1.5b + -2b = -0.5b
18 + -0.5b = -9 + 2b + -2b

Combine like terms: 2b + -2b = 0
18 + -0.5b = -9 + 0
18 + -0.5b = -9

Add '-18' to each side of the equation.
18 + -18 + -0.5b = -9 + -18

Combine like terms: 18 + -18 = 0
0 + -0.5b = -9 + -18
-0.5b = -9 + -18

Combine like terms: -9 + -18 = -27
-0.5b = -27

Divide each side by '-0.5'.
b = 54

Simplifying
b = 54

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