11(2q-8)=14(7-3q)

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Solution for 11(2q-8)=14(7-3q) equation:


Simplifying
11(2q + -8) = 14(7 + -3q)

Reorder the terms:
11(-8 + 2q) = 14(7 + -3q)
(-8 * 11 + 2q * 11) = 14(7 + -3q)
(-88 + 22q) = 14(7 + -3q)
-88 + 22q = (7 * 14 + -3q * 14)
-88 + 22q = (98 + -42q)

Solving
-88 + 22q = 98 + -42q

Solving for variable 'q'.

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

Add '42q' to each side of the equation.
-88 + 22q + 42q = 98 + -42q + 42q

Combine like terms: 22q + 42q = 64q
-88 + 64q = 98 + -42q + 42q

Combine like terms: -42q + 42q = 0
-88 + 64q = 98 + 0
-88 + 64q = 98

Add '88' to each side of the equation.
-88 + 88 + 64q = 98 + 88

Combine like terms: -88 + 88 = 0
0 + 64q = 98 + 88
64q = 98 + 88

Combine like terms: 98 + 88 = 186
64q = 186

Divide each side by '64'.
q = 2.90625

Simplifying
q = 2.90625

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