0.9(5-2v)+0.6(2.5b-4)=7.2

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Solution for 0.9(5-2v)+0.6(2.5b-4)=7.2 equation:


Simplifying
0.9(5 + -2v) + 0.6(2.5b + -4) = 7.2
(5 * 0.9 + -2v * 0.9) + 0.6(2.5b + -4) = 7.2
(4.5 + -1.8v) + 0.6(2.5b + -4) = 7.2

Reorder the terms:
4.5 + -1.8v + 0.6(-4 + 2.5b) = 7.2
4.5 + -1.8v + (-4 * 0.6 + 2.5b * 0.6) = 7.2
4.5 + -1.8v + (-2.4 + 1.5b) = 7.2

Reorder the terms:
4.5 + -2.4 + 1.5b + -1.8v = 7.2

Combine like terms: 4.5 + -2.4 = 2.1
2.1 + 1.5b + -1.8v = 7.2

Solving
2.1 + 1.5b + -1.8v = 7.2

Solving for variable 'b'.

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

Add '-2.1' to each side of the equation.
2.1 + 1.5b + -2.1 + -1.8v = 7.2 + -2.1

Reorder the terms:
2.1 + -2.1 + 1.5b + -1.8v = 7.2 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 1.5b + -1.8v = 7.2 + -2.1
1.5b + -1.8v = 7.2 + -2.1

Combine like terms: 7.2 + -2.1 = 5.1
1.5b + -1.8v = 5.1

Add '1.8v' to each side of the equation.
1.5b + -1.8v + 1.8v = 5.1 + 1.8v

Combine like terms: -1.8v + 1.8v = 0.0
1.5b + 0.0 = 5.1 + 1.8v
1.5b = 5.1 + 1.8v

Divide each side by '1.5'.
b = 3.4 + 1.2v

Simplifying
b = 3.4 + 1.2v

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