3(-18q+15)=-3(19q-16)

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Solution for 3(-18q+15)=-3(19q-16) equation: 


Simplifying
3(-18q + 15) = -3(19q + -16)

Reorder the terms:
3(15 + -18q) = -3(19q + -16)
(15 * 3 + -18q * 3) = -3(19q + -16)
(45 + -54q) = -3(19q + -16)

Reorder the terms:
45 + -54q = -3(-16 + 19q)
45 + -54q = (-16 * -3 + 19q * -3)
45 + -54q = (48 + -57q)

Solving
45 + -54q = 48 + -57q

Solving for variable 'q'.

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

Add '57q' to each side of the equation.
45 + -54q + 57q = 48 + -57q + 57q

Combine like terms: -54q + 57q = 3q
45 + 3q = 48 + -57q + 57q

Combine like terms: -57q + 57q = 0
45 + 3q = 48 + 0
45 + 3q = 48

Add '-45' to each side of the equation.
45 + -45 + 3q = 48 + -45

Combine like terms: 45 + -45 = 0
0 + 3q = 48 + -45
3q = 48 + -45

Combine like terms: 48 + -45 = 3
3q = 3

Divide each side by '3'.
q = 1

Simplifying
q = 1

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