3.75(q-5)=4(q+3)

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Solution for 3.75(q-5)=4(q+3) equation: 


Simplifying
3.75(q + -5) = 4(q + 3)

Reorder the terms:
3.75(-5 + q) = 4(q + 3)
(-5 * 3.75 + q * 3.75) = 4(q + 3)
(-18.75 + 3.75q) = 4(q + 3)

Reorder the terms:
-18.75 + 3.75q = 4(3 + q)
-18.75 + 3.75q = (3 * 4 + q * 4)
-18.75 + 3.75q = (12 + 4q)

Solving
-18.75 + 3.75q = 12 + 4q

Solving for variable 'q'.

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

Add '-4q' to each side of the equation.
-18.75 + 3.75q + -4q = 12 + 4q + -4q

Combine like terms: 3.75q + -4q = -0.25q
-18.75 + -0.25q = 12 + 4q + -4q

Combine like terms: 4q + -4q = 0
-18.75 + -0.25q = 12 + 0
-18.75 + -0.25q = 12

Add '18.75' to each side of the equation.
-18.75 + 18.75 + -0.25q = 12 + 18.75

Combine like terms: -18.75 + 18.75 = 0.00
0.00 + -0.25q = 12 + 18.75
-0.25q = 12 + 18.75

Combine like terms: 12 + 18.75 = 30.75
-0.25q = 30.75

Divide each side by '-0.25'.
q = -123

Simplifying
q = -123

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