6(5q-8)-20=11(2q-3)+3q

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Solution for 6(5q-8)-20=11(2q-3)+3q equation:


Simplifying
6(5q + -8) + -20 = 11(2q + -3) + 3q

Reorder the terms:
6(-8 + 5q) + -20 = 11(2q + -3) + 3q
(-8 * 6 + 5q * 6) + -20 = 11(2q + -3) + 3q
(-48 + 30q) + -20 = 11(2q + -3) + 3q

Reorder the terms:
-48 + -20 + 30q = 11(2q + -3) + 3q

Combine like terms: -48 + -20 = -68
-68 + 30q = 11(2q + -3) + 3q

Reorder the terms:
-68 + 30q = 11(-3 + 2q) + 3q
-68 + 30q = (-3 * 11 + 2q * 11) + 3q
-68 + 30q = (-33 + 22q) + 3q

Combine like terms: 22q + 3q = 25q
-68 + 30q = -33 + 25q

Solving
-68 + 30q = -33 + 25q

Solving for variable 'q'.

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

Add '-25q' to each side of the equation.
-68 + 30q + -25q = -33 + 25q + -25q

Combine like terms: 30q + -25q = 5q
-68 + 5q = -33 + 25q + -25q

Combine like terms: 25q + -25q = 0
-68 + 5q = -33 + 0
-68 + 5q = -33

Add '68' to each side of the equation.
-68 + 68 + 5q = -33 + 68

Combine like terms: -68 + 68 = 0
0 + 5q = -33 + 68
5q = -33 + 68

Combine like terms: -33 + 68 = 35
5q = 35

Divide each side by '5'.
q = 7

Simplifying
q = 7

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