7q-3r+5(r-q)=

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Solution for 7q-3r+5(r-q)= equation:


Simplifying
7q + -3r + 5(r + -1q) = 0

Reorder the terms:
7q + -3r + 5(-1q + r) = 0
7q + -3r + (-1q * 5 + r * 5) = 0
7q + -3r + (-5q + 5r) = 0

Reorder the terms:
7q + -5q + -3r + 5r = 0

Combine like terms: 7q + -5q = 2q
2q + -3r + 5r = 0

Combine like terms: -3r + 5r = 2r
2q + 2r = 0

Solving
2q + 2r = 0

Solving for variable 'q'.

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

Add '-2r' to each side of the equation.
2q + 2r + -2r = 0 + -2r

Combine like terms: 2r + -2r = 0
2q + 0 = 0 + -2r
2q = 0 + -2r
Remove the zero:
2q = -2r

Divide each side by '2'.
q = -1r

Simplifying
q = -1r

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