2.9-4(17.4q+10.4)=7.8q

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Solution for 2.9-4(17.4q+10.4)=7.8q equation: 


Simplifying
2.9 + -4(17.4q + 10.4) = 7.8q

Reorder the terms:
2.9 + -4(10.4 + 17.4q) = 7.8q
2.9 + (10.4 * -4 + 17.4q * -4) = 7.8q
2.9 + (-41.6 + -69.6q) = 7.8q

Combine like terms: 2.9 + -41.6 = -38.7
-38.7 + -69.6q = 7.8q

Solving
-38.7 + -69.6q = 7.8q

Solving for variable 'q'.

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

Add '-7.8q' to each side of the equation.
-38.7 + -69.6q + -7.8q = 7.8q + -7.8q

Combine like terms: -69.6q + -7.8q = -77.4q
-38.7 + -77.4q = 7.8q + -7.8q

Combine like terms: 7.8q + -7.8q = 0.0
-38.7 + -77.4q = 0.0

Add '38.7' to each side of the equation.
-38.7 + 38.7 + -77.4q = 0.0 + 38.7

Combine like terms: -38.7 + 38.7 = 0.0
0.0 + -77.4q = 0.0 + 38.7
-77.4q = 0.0 + 38.7

Combine like terms: 0.0 + 38.7 = 38.7
-77.4q = 38.7

Divide each side by '-77.4'.
q = -0.5

Simplifying
q = -0.5

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