7(7q-20)-19q=18q+20+20

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Solution for 7(7q-20)-19q=18q+20+20 equation:


Simplifying
7(7q + -20) + -19q = 18q + 20 + 20

Reorder the terms:
7(-20 + 7q) + -19q = 18q + 20 + 20
(-20 * 7 + 7q * 7) + -19q = 18q + 20 + 20
(-140 + 49q) + -19q = 18q + 20 + 20

Combine like terms: 49q + -19q = 30q
-140 + 30q = 18q + 20 + 20

Reorder the terms:
-140 + 30q = 20 + 20 + 18q

Combine like terms: 20 + 20 = 40
-140 + 30q = 40 + 18q

Solving
-140 + 30q = 40 + 18q

Solving for variable 'q'.

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

Add '-18q' to each side of the equation.
-140 + 30q + -18q = 40 + 18q + -18q

Combine like terms: 30q + -18q = 12q
-140 + 12q = 40 + 18q + -18q

Combine like terms: 18q + -18q = 0
-140 + 12q = 40 + 0
-140 + 12q = 40

Add '140' to each side of the equation.
-140 + 140 + 12q = 40 + 140

Combine like terms: -140 + 140 = 0
0 + 12q = 40 + 140
12q = 40 + 140

Combine like terms: 40 + 140 = 180
12q = 180

Divide each side by '12'.
q = 15

Simplifying
q = 15

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