q+10(1-q)=-5q+(1-q)

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Solution for q+10(1-q)=-5q+(1-q) equation: 


Simplifying
q + 10(1 + -1q) = -5q + (1 + -1q)
q + (1 * 10 + -1q * 10) = -5q + (1 + -1q)
q + (10 + -10q) = -5q + (1 + -1q)

Reorder the terms:
10 + q + -10q = -5q + (1 + -1q)

Combine like terms: q + -10q = -9q
10 + -9q = -5q + (1 + -1q)

Remove parenthesis around (1 + -1q)
10 + -9q = -5q + 1 + -1q

Reorder the terms:
10 + -9q = 1 + -5q + -1q

Combine like terms: -5q + -1q = -6q
10 + -9q = 1 + -6q

Solving
10 + -9q = 1 + -6q

Solving for variable 'q'.

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

Add '6q' to each side of the equation.
10 + -9q + 6q = 1 + -6q + 6q

Combine like terms: -9q + 6q = -3q
10 + -3q = 1 + -6q + 6q

Combine like terms: -6q + 6q = 0
10 + -3q = 1 + 0
10 + -3q = 1

Add '-10' to each side of the equation.
10 + -10 + -3q = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -3q = 1 + -10
-3q = 1 + -10

Combine like terms: 1 + -10 = -9
-3q = -9

Divide each side by '-3'.
q = 3

Simplifying
q = 3

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