5.7q-1.5-5.3q=-0.6q-3.5

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Solution for 5.7q-1.5-5.3q=-0.6q-3.5 equation:


Simplifying
5.7q + -1.5 + -5.3q = -0.6q + -3.5

Reorder the terms:
-1.5 + 5.7q + -5.3q = -0.6q + -3.5

Combine like terms: 5.7q + -5.3q = 0.4q
-1.5 + 0.4q = -0.6q + -3.5

Reorder the terms:
-1.5 + 0.4q = -3.5 + -0.6q

Solving
-1.5 + 0.4q = -3.5 + -0.6q

Solving for variable 'q'.

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

Add '0.6q' to each side of the equation.
-1.5 + 0.4q + 0.6q = -3.5 + -0.6q + 0.6q

Combine like terms: 0.4q + 0.6q = 1q
-1.5 + 1q = -3.5 + -0.6q + 0.6q

Combine like terms: -0.6q + 0.6q = 0.0
-1.5 + 1q = -3.5 + 0.0
-1.5 + 1q = -3.5

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 1q = -3.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 1q = -3.5 + 1.5
1q = -3.5 + 1.5

Combine like terms: -3.5 + 1.5 = -2
1q = -2

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

Simplifying
q = -2

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