q-(14+2q)=13+(2q-3)

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Solution for q-(14+2q)=13+(2q-3) equation:


Simplifying
q + -1(14 + 2q) = 13 + (2q + -3)
q + (14 * -1 + 2q * -1) = 13 + (2q + -3)
q + (-14 + -2q) = 13 + (2q + -3)

Reorder the terms:
-14 + q + -2q = 13 + (2q + -3)

Combine like terms: q + -2q = -1q
-14 + -1q = 13 + (2q + -3)

Reorder the terms:
-14 + -1q = 13 + (-3 + 2q)

Remove parenthesis around (-3 + 2q)
-14 + -1q = 13 + -3 + 2q

Combine like terms: 13 + -3 = 10
-14 + -1q = 10 + 2q

Solving
-14 + -1q = 10 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
-14 + -1q + -2q = 10 + 2q + -2q

Combine like terms: -1q + -2q = -3q
-14 + -3q = 10 + 2q + -2q

Combine like terms: 2q + -2q = 0
-14 + -3q = 10 + 0
-14 + -3q = 10

Add '14' to each side of the equation.
-14 + 14 + -3q = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -3q = 10 + 14
-3q = 10 + 14

Combine like terms: 10 + 14 = 24
-3q = 24

Divide each side by '-3'.
q = -8

Simplifying
q = -8

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