3(4b-10)=64(-24b+60)

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Solution for 3(4b-10)=64(-24b+60) equation:


Simplifying
3(4b + -10) = 64(-24b + 60)

Reorder the terms:
3(-10 + 4b) = 64(-24b + 60)
(-10 * 3 + 4b * 3) = 64(-24b + 60)
(-30 + 12b) = 64(-24b + 60)

Reorder the terms:
-30 + 12b = 64(60 + -24b)
-30 + 12b = (60 * 64 + -24b * 64)
-30 + 12b = (3840 + -1536b)

Solving
-30 + 12b = 3840 + -1536b

Solving for variable 'b'.

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

Add '1536b' to each side of the equation.
-30 + 12b + 1536b = 3840 + -1536b + 1536b

Combine like terms: 12b + 1536b = 1548b
-30 + 1548b = 3840 + -1536b + 1536b

Combine like terms: -1536b + 1536b = 0
-30 + 1548b = 3840 + 0
-30 + 1548b = 3840

Add '30' to each side of the equation.
-30 + 30 + 1548b = 3840 + 30

Combine like terms: -30 + 30 = 0
0 + 1548b = 3840 + 30
1548b = 3840 + 30

Combine like terms: 3840 + 30 = 3870
1548b = 3870

Divide each side by '1548'.
b = 2.5

Simplifying
b = 2.5

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