Solve the equation for b

If a = (2/3)b + 4, how can b be expressed in terms of a ?

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Solve the equation for b.

a = (2/3)b + 4
a - 4 = (2/3)b   {subtracted 4 from each side}
(3/2)a - (3/2)(4) = b   {divided each side by 2/3, which is the same as multiplying each side by 3/2}
b = (3/2)a - 6   {multiplied}

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