5.3q-1.9-4.6q=-0.3q-1.5

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Solution for 5.3q-1.9-4.6q=-0.3q-1.5 equation:


Simplifying
5.3q + -1.9 + -4.6q = -0.3q + -1.5

Reorder the terms:
-1.9 + 5.3q + -4.6q = -0.3q + -1.5

Combine like terms: 5.3q + -4.6q = 0.7q
-1.9 + 0.7q = -0.3q + -1.5

Reorder the terms:
-1.9 + 0.7q = -1.5 + -0.3q

Solving
-1.9 + 0.7q = -1.5 + -0.3q

Solving for variable 'q'.

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

Add '0.3q' to each side of the equation.
-1.9 + 0.7q + 0.3q = -1.5 + -0.3q + 0.3q

Combine like terms: 0.7q + 0.3q = 1q
-1.9 + 1q = -1.5 + -0.3q + 0.3q

Combine like terms: -0.3q + 0.3q = 0.0
-1.9 + 1q = -1.5 + 0.0
-1.9 + 1q = -1.5

Add '1.9' to each side of the equation.
-1.9 + 1.9 + 1q = -1.5 + 1.9

Combine like terms: -1.9 + 1.9 = 0.0
0.0 + 1q = -1.5 + 1.9
1q = -1.5 + 1.9

Combine like terms: -1.5 + 1.9 = 0.4
1q = 0.4

Divide each side by '1'.
q = 0.4

Simplifying
q = 0.4

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