38=5(ab-3)+3b+1

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Solution for 38=5(ab-3)+3b+1 equation:


Simplifying
38 = 5(ab + -3) + 3b + 1

Reorder the terms:
38 = 5(-3 + ab) + 3b + 1
38 = (-3 * 5 + ab * 5) + 3b + 1
38 = (-15 + 5ab) + 3b + 1

Reorder the terms:
38 = -15 + 1 + 5ab + 3b

Combine like terms: -15 + 1 = -14
38 = -14 + 5ab + 3b

Solving
38 = -14 + 5ab + 3b

Solving for variable 'a'.

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

Add '-5ab' to each side of the equation.
38 + -5ab = -14 + 5ab + -5ab + 3b

Combine like terms: 5ab + -5ab = 0
38 + -5ab = -14 + 0 + 3b
38 + -5ab = -14 + 3b

Add '-38' to each side of the equation.
38 + -38 + -5ab = -14 + -38 + 3b

Combine like terms: 38 + -38 = 0
0 + -5ab = -14 + -38 + 3b
-5ab = -14 + -38 + 3b

Combine like terms: -14 + -38 = -52
-5ab = -52 + 3b

Divide each side by '-5b'.
a = 10.4b-1 + -0.6

Simplifying
a = 10.4b-1 + -0.6

Reorder the terms:
a = -0.6 + 10.4b-1

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