0.25(q-6)=0.1(q+18)

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Solution for 0.25(q-6)=0.1(q+18) equation: 


Simplifying
0.25(q + -6) = 0.1(q + 18)

Reorder the terms:
0.25(-6 + q) = 0.1(q + 18)
(-6 * 0.25 + q * 0.25) = 0.1(q + 18)
(-1.5 + 0.25q) = 0.1(q + 18)

Reorder the terms:
-1.5 + 0.25q = 0.1(18 + q)
-1.5 + 0.25q = (18 * 0.1 + q * 0.1)
-1.5 + 0.25q = (1.8 + 0.1q)

Solving
-1.5 + 0.25q = 1.8 + 0.1q

Solving for variable 'q'.

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

Add '-0.1q' to each side of the equation.
-1.5 + 0.25q + -0.1q = 1.8 + 0.1q + -0.1q

Combine like terms: 0.25q + -0.1q = 0.15q
-1.5 + 0.15q = 1.8 + 0.1q + -0.1q

Combine like terms: 0.1q + -0.1q = 0.0
-1.5 + 0.15q = 1.8 + 0.0
-1.5 + 0.15q = 1.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.15q = 1.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.15q = 1.8 + 1.5
0.15q = 1.8 + 1.5

Combine like terms: 1.8 + 1.5 = 3.3
0.15q = 3.3

Divide each side by '0.15'.
q = 22

Simplifying
q = 22

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