1.5q-4.6-0.7q=-0.2q-2.8

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Solution for 1.5q-4.6-0.7q=-0.2q-2.8 equation: 


Simplifying
1.5q + -4.6 + -0.7q = -0.2q + -2.8

Reorder the terms:
-4.6 + 1.5q + -0.7q = -0.2q + -2.8

Combine like terms: 1.5q + -0.7q = 0.8q
-4.6 + 0.8q = -0.2q + -2.8

Reorder the terms:
-4.6 + 0.8q = -2.8 + -0.2q

Solving
-4.6 + 0.8q = -2.8 + -0.2q

Solving for variable 'q'.

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

Add '0.2q' to each side of the equation.
-4.6 + 0.8q + 0.2q = -2.8 + -0.2q + 0.2q

Combine like terms: 0.8q + 0.2q = 1q
-4.6 + 1q = -2.8 + -0.2q + 0.2q

Combine like terms: -0.2q + 0.2q = 0.0
-4.6 + 1q = -2.8 + 0.0
-4.6 + 1q = -2.8

Add '4.6' to each side of the equation.
-4.6 + 4.6 + 1q = -2.8 + 4.6

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

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

Divide each side by '1'.
q = 1.8

Simplifying
q = 1.8

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