0.3[b+z]=0.4[8-z]

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Solution for 0.3[b+z]=0.4[8-z] equation: 


Simplifying
0.3[b + z] = 0.4[8 + -1z]
[b * 0.3 + z * 0.3] = 0.4[8 + -1z]
[0.3b + 0.3z] = 0.4[8 + -1z]
0.3b + 0.3z = [8 * 0.4 + -1z * 0.4]
0.3b + 0.3z = [3.2 + -0.4z]

Solving
0.3b + 0.3z = 3.2 + -0.4z

Solving for variable 'b'.

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

Add '-0.3z' to each side of the equation.
0.3b + 0.3z + -0.3z = 3.2 + -0.4z + -0.3z

Combine like terms: 0.3z + -0.3z = 0.0
0.3b + 0.0 = 3.2 + -0.4z + -0.3z
0.3b = 3.2 + -0.4z + -0.3z

Combine like terms: -0.4z + -0.3z = -0.7z
0.3b = 3.2 + -0.7z

Divide each side by '0.3'.
b = 10.66666667 + -2.333333333z

Simplifying
b = 10.66666667 + -2.333333333z

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