0.1q-0.2(3q+4)=0.3(5q+3)

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Solution for 0.1q-0.2(3q+4)=0.3(5q+3) equation: 


Simplifying
0.1q + -0.2(3q + 4) = 0.3(5q + 3)

Reorder the terms:
0.1q + -0.2(4 + 3q) = 0.3(5q + 3)
0.1q + (4 * -0.2 + 3q * -0.2) = 0.3(5q + 3)
0.1q + (-0.8 + -0.6q) = 0.3(5q + 3)

Reorder the terms:
-0.8 + 0.1q + -0.6q = 0.3(5q + 3)

Combine like terms: 0.1q + -0.6q = -0.5q
-0.8 + -0.5q = 0.3(5q + 3)

Reorder the terms:
-0.8 + -0.5q = 0.3(3 + 5q)
-0.8 + -0.5q = (3 * 0.3 + 5q * 0.3)
-0.8 + -0.5q = (0.9 + 1.5q)

Solving
-0.8 + -0.5q = 0.9 + 1.5q

Solving for variable 'q'.

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

Add '-1.5q' to each side of the equation.
-0.8 + -0.5q + -1.5q = 0.9 + 1.5q + -1.5q

Combine like terms: -0.5q + -1.5q = -2q
-0.8 + -2q = 0.9 + 1.5q + -1.5q

Combine like terms: 1.5q + -1.5q = 0.0
-0.8 + -2q = 0.9 + 0.0
-0.8 + -2q = 0.9

Add '0.8' to each side of the equation.
-0.8 + 0.8 + -2q = 0.9 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + -2q = 0.9 + 0.8
-2q = 0.9 + 0.8

Combine like terms: 0.9 + 0.8 = 1.7
-2q = 1.7

Divide each side by '-2'.
q = -0.85

Simplifying
q = -0.85

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