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

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


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

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

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

Remove parenthesis around (-9 + 2b)
3 + 1.5b + -9 + 2b + 15 = b

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

Combine like terms: 3 + -9 = -6
-6 + 15 + 1.5b + 2b = b

Combine like terms: -6 + 15 = 9
9 + 1.5b + 2b = b

Combine like terms: 1.5b + 2b = 3.5b
9 + 3.5b = b

Solving
9 + 3.5b = b

Solving for variable 'b'.

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

Add '-1b' to each side of the equation.
9 + 3.5b + -1b = b + -1b

Combine like terms: 3.5b + -1b = 2.5b
9 + 2.5b = b + -1b

Combine like terms: b + -1b = 0
9 + 2.5b = 0

Add '-9' to each side of the equation.
9 + -9 + 2.5b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2.5b = 0 + -9
2.5b = 0 + -9

Combine like terms: 0 + -9 = -9
2.5b = -9

Divide each side by '2.5'.
b = -3.6

Simplifying
b = -3.6

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