-3(19q-10)=-6(-6+9q)

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Solution for -3(19q-10)=-6(-6+9q) equation:


Simplifying
-3(19q + -10) = -6(-6 + 9q)

Reorder the terms:
-3(-10 + 19q) = -6(-6 + 9q)
(-10 * -3 + 19q * -3) = -6(-6 + 9q)
(30 + -57q) = -6(-6 + 9q)
30 + -57q = (-6 * -6 + 9q * -6)
30 + -57q = (36 + -54q)

Solving
30 + -57q = 36 + -54q

Solving for variable 'q'.

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

Add '54q' to each side of the equation.
30 + -57q + 54q = 36 + -54q + 54q

Combine like terms: -57q + 54q = -3q
30 + -3q = 36 + -54q + 54q

Combine like terms: -54q + 54q = 0
30 + -3q = 36 + 0
30 + -3q = 36

Add '-30' to each side of the equation.
30 + -30 + -3q = 36 + -30

Combine like terms: 30 + -30 = 0
0 + -3q = 36 + -30
-3q = 36 + -30

Combine like terms: 36 + -30 = 6
-3q = 6

Divide each side by '-3'.
q = -2

Simplifying
q = -2

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