-3(4b-10)=1.5(24b+60)

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Solution for -3(4b-10)=1.5(24b+60) equation:


Simplifying
-3(4b + -10) = 1.5(24b + 60)

Reorder the terms:
-3(-10 + 4b) = 1.5(24b + 60)
(-10 * -3 + 4b * -3) = 1.5(24b + 60)
(30 + -12b) = 1.5(24b + 60)

Reorder the terms:
30 + -12b = 1.5(60 + 24b)
30 + -12b = (60 * 1.5 + 24b * 1.5)
30 + -12b = (90 + 36b)

Solving
30 + -12b = 90 + 36b

Solving for variable 'b'.

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

Add '-36b' to each side of the equation.
30 + -12b + -36b = 90 + 36b + -36b

Combine like terms: -12b + -36b = -48b
30 + -48b = 90 + 36b + -36b

Combine like terms: 36b + -36b = 0
30 + -48b = 90 + 0
30 + -48b = 90

Add '-30' to each side of the equation.
30 + -30 + -48b = 90 + -30

Combine like terms: 30 + -30 = 0
0 + -48b = 90 + -30
-48b = 90 + -30

Combine like terms: 90 + -30 = 60
-48b = 60

Divide each side by '-48'.
b = -1.25

Simplifying
b = -1.25

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