.75(34-8b)=2(5b+1)

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Solution for .75(34-8b)=2(5b+1) equation:


Simplifying
0.75(34 + -8b) = 2(5b + 1)
(34 * 0.75 + -8b * 0.75) = 2(5b + 1)
(25.5 + -6b) = 2(5b + 1)

Reorder the terms:
25.5 + -6b = 2(1 + 5b)
25.5 + -6b = (1 * 2 + 5b * 2)
25.5 + -6b = (2 + 10b)

Solving
25.5 + -6b = 2 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
25.5 + -6b + -10b = 2 + 10b + -10b

Combine like terms: -6b + -10b = -16b
25.5 + -16b = 2 + 10b + -10b

Combine like terms: 10b + -10b = 0
25.5 + -16b = 2 + 0
25.5 + -16b = 2

Add '-25.5' to each side of the equation.
25.5 + -25.5 + -16b = 2 + -25.5

Combine like terms: 25.5 + -25.5 = 0.0
0.0 + -16b = 2 + -25.5
-16b = 2 + -25.5

Combine like terms: 2 + -25.5 = -23.5
-16b = -23.5

Divide each side by '-16'.
b = 1.46875

Simplifying
b = 1.46875

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