3.1q-4.6-4.9q=-2.8q-4.7

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Solution for 3.1q-4.6-4.9q=-2.8q-4.7 equation:


Simplifying
3.1q + -4.6 + -4.9q = -2.8q + -4.7

Reorder the terms:
-4.6 + 3.1q + -4.9q = -2.8q + -4.7

Combine like terms: 3.1q + -4.9q = -1.8q
-4.6 + -1.8q = -2.8q + -4.7

Reorder the terms:
-4.6 + -1.8q = -4.7 + -2.8q

Solving
-4.6 + -1.8q = -4.7 + -2.8q

Solving for variable 'q'.

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

Add '2.8q' to each side of the equation.
-4.6 + -1.8q + 2.8q = -4.7 + -2.8q + 2.8q

Combine like terms: -1.8q + 2.8q = 1q
-4.6 + 1q = -4.7 + -2.8q + 2.8q

Combine like terms: -2.8q + 2.8q = 0.0
-4.6 + 1q = -4.7 + 0.0
-4.6 + 1q = -4.7

Add '4.6' to each side of the equation.
-4.6 + 4.6 + 1q = -4.7 + 4.6

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + 1q = -4.7 + 4.6
1q = -4.7 + 4.6

Combine like terms: -4.7 + 4.6 = -0.1
1q = -0.1

Divide each side by '1'.
q = -0.1

Simplifying
q = -0.1

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