5q+4(-5+3q)=1-q

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Solution for 5q+4(-5+3q)=1-q equation:


Simplifying
5q + 4(-5 + 3q) = 1 + -1q
5q + (-5 * 4 + 3q * 4) = 1 + -1q
5q + (-20 + 12q) = 1 + -1q

Reorder the terms:
-20 + 5q + 12q = 1 + -1q

Combine like terms: 5q + 12q = 17q
-20 + 17q = 1 + -1q

Solving
-20 + 17q = 1 + -1q

Solving for variable 'q'.

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

Add 'q' to each side of the equation.
-20 + 17q + q = 1 + -1q + q

Combine like terms: 17q + q = 18q
-20 + 18q = 1 + -1q + q

Combine like terms: -1q + q = 0
-20 + 18q = 1 + 0
-20 + 18q = 1

Add '20' to each side of the equation.
-20 + 20 + 18q = 1 + 20

Combine like terms: -20 + 20 = 0
0 + 18q = 1 + 20
18q = 1 + 20

Combine like terms: 1 + 20 = 21
18q = 21

Divide each side by '18'.
q = 1.166666667

Simplifying
q = 1.166666667

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