2b+2.5=-0.5(b-1.5)

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Solution for 2b+2.5=-0.5(b-1.5) equation: 


Simplifying
2b + 2.5 = -0.5(b + -1.5)

Reorder the terms:
2.5 + 2b = -0.5(b + -1.5)

Reorder the terms:
2.5 + 2b = -0.5(-1.5 + b)
2.5 + 2b = (-1.5 * -0.5 + b * -0.5)
2.5 + 2b = (0.75 + -0.5b)

Solving
2.5 + 2b = 0.75 + -0.5b

Solving for variable 'b'.

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

Add '0.5b' to each side of the equation.
2.5 + 2b + 0.5b = 0.75 + -0.5b + 0.5b

Combine like terms: 2b + 0.5b = 2.5b
2.5 + 2.5b = 0.75 + -0.5b + 0.5b

Combine like terms: -0.5b + 0.5b = 0.0
2.5 + 2.5b = 0.75 + 0.0
2.5 + 2.5b = 0.75

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 2.5b = 0.75 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 2.5b = 0.75 + -2.5
2.5b = 0.75 + -2.5

Combine like terms: 0.75 + -2.5 = -1.75
2.5b = -1.75

Divide each side by '2.5'.
b = -0.7

Simplifying
b = -0.7

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