4.7q-3.4-3.8q=-0.1q-5.4

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Solution for 4.7q-3.4-3.8q=-0.1q-5.4 equation:


Simplifying
4.7q + -3.4 + -3.8q = -0.1q + -5.4

Reorder the terms:
-3.4 + 4.7q + -3.8q = -0.1q + -5.4

Combine like terms: 4.7q + -3.8q = 0.9q
-3.4 + 0.9q = -0.1q + -5.4

Reorder the terms:
-3.4 + 0.9q = -5.4 + -0.1q

Solving
-3.4 + 0.9q = -5.4 + -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.
-3.4 + 0.9q + 0.1q = -5.4 + -0.1q + 0.1q

Combine like terms: 0.9q + 0.1q = 1q
-3.4 + 1q = -5.4 + -0.1q + 0.1q

Combine like terms: -0.1q + 0.1q = 0.0
-3.4 + 1q = -5.4 + 0.0
-3.4 + 1q = -5.4

Add '3.4' to each side of the equation.
-3.4 + 3.4 + 1q = -5.4 + 3.4

Combine like terms: -3.4 + 3.4 = 0.0
0.0 + 1q = -5.4 + 3.4
1q = -5.4 + 3.4

Combine like terms: -5.4 + 3.4 = -2
1q = -2

Divide each side by '1'.
q = -2

Simplifying
q = -2

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