4.6q-1.4-5.7q=-2.1q-2.9

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Solution for 4.6q-1.4-5.7q=-2.1q-2.9 equation: 


Simplifying
4.6q + -1.4 + -5.7q = -2.1q + -2.9

Reorder the terms:
-1.4 + 4.6q + -5.7q = -2.1q + -2.9

Combine like terms: 4.6q + -5.7q = -1.1q
-1.4 + -1.1q = -2.1q + -2.9

Reorder the terms:
-1.4 + -1.1q = -2.9 + -2.1q

Solving
-1.4 + -1.1q = -2.9 + -2.1q

Solving for variable 'q'.

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

Add '2.1q' to each side of the equation.
-1.4 + -1.1q + 2.1q = -2.9 + -2.1q + 2.1q

Combine like terms: -1.1q + 2.1q = 1q
-1.4 + 1q = -2.9 + -2.1q + 2.1q

Combine like terms: -2.1q + 2.1q = 0.0
-1.4 + 1q = -2.9 + 0.0
-1.4 + 1q = -2.9

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 1q = -2.9 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 1q = -2.9 + 1.4
1q = -2.9 + 1.4

Combine like terms: -2.9 + 1.4 = -1.5
1q = -1.5

Divide each side by '1'.
q = -1.5

Simplifying
q = -1.5

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