5q-(8q+9)=3-(5q-9)

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Solution for 5q-(8q+9)=3-(5q-9) equation:


Simplifying
5q + -1(8q + 9) = 3 + -1(5q + -9)

Reorder the terms:
5q + -1(9 + 8q) = 3 + -1(5q + -9)
5q + (9 * -1 + 8q * -1) = 3 + -1(5q + -9)
5q + (-9 + -8q) = 3 + -1(5q + -9)

Reorder the terms:
-9 + 5q + -8q = 3 + -1(5q + -9)

Combine like terms: 5q + -8q = -3q
-9 + -3q = 3 + -1(5q + -9)

Reorder the terms:
-9 + -3q = 3 + -1(-9 + 5q)
-9 + -3q = 3 + (-9 * -1 + 5q * -1)
-9 + -3q = 3 + (9 + -5q)

Combine like terms: 3 + 9 = 12
-9 + -3q = 12 + -5q

Solving
-9 + -3q = 12 + -5q

Solving for variable 'q'.

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

Add '5q' to each side of the equation.
-9 + -3q + 5q = 12 + -5q + 5q

Combine like terms: -3q + 5q = 2q
-9 + 2q = 12 + -5q + 5q

Combine like terms: -5q + 5q = 0
-9 + 2q = 12 + 0
-9 + 2q = 12

Add '9' to each side of the equation.
-9 + 9 + 2q = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 2q = 12 + 9
2q = 12 + 9

Combine like terms: 12 + 9 = 21
2q = 21

Divide each side by '2'.
q = 10.5

Simplifying
q = 10.5

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