-1.8q-4(-3-4q)=9+10.2q

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Solution for -1.8q-4(-3-4q)=9+10.2q equation: 


Simplifying
-1.8q + -4(-3 + -4q) = 9 + 10.2q
-1.8q + (-3 * -4 + -4q * -4) = 9 + 10.2q
-1.8q + (12 + 16q) = 9 + 10.2q

Reorder the terms:
12 + -1.8q + 16q = 9 + 10.2q

Combine like terms: -1.8q + 16q = 14.2q
12 + 14.2q = 9 + 10.2q

Solving
12 + 14.2q = 9 + 10.2q

Solving for variable 'q'.

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

Add '-10.2q' to each side of the equation.
12 + 14.2q + -10.2q = 9 + 10.2q + -10.2q

Combine like terms: 14.2q + -10.2q = 4q
12 + 4q = 9 + 10.2q + -10.2q

Combine like terms: 10.2q + -10.2q = 0.0
12 + 4q = 9 + 0.0
12 + 4q = 9

Add '-12' to each side of the equation.
12 + -12 + 4q = 9 + -12

Combine like terms: 12 + -12 = 0
0 + 4q = 9 + -12
4q = 9 + -12

Combine like terms: 9 + -12 = -3
4q = -3

Divide each side by '4'.
q = -0.75

Simplifying
q = -0.75

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