20+5(4q-100)=3q+30

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Solution for 20+5(4q-100)=3q+30 equation:


Simplifying
20 + 5(4q + -100) = 3q + 30

Reorder the terms:
20 + 5(-100 + 4q) = 3q + 30
20 + (-100 * 5 + 4q * 5) = 3q + 30
20 + (-500 + 20q) = 3q + 30

Combine like terms: 20 + -500 = -480
-480 + 20q = 3q + 30

Reorder the terms:
-480 + 20q = 30 + 3q

Solving
-480 + 20q = 30 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
-480 + 20q + -3q = 30 + 3q + -3q

Combine like terms: 20q + -3q = 17q
-480 + 17q = 30 + 3q + -3q

Combine like terms: 3q + -3q = 0
-480 + 17q = 30 + 0
-480 + 17q = 30

Add '480' to each side of the equation.
-480 + 480 + 17q = 30 + 480

Combine like terms: -480 + 480 = 0
0 + 17q = 30 + 480
17q = 30 + 480

Combine like terms: 30 + 480 = 510
17q = 510

Divide each side by '17'.
q = 30

Simplifying
q = 30

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