0.21(4q-9)-q=0.03(3-2q)

Solution for 0.21(4q-9)-q=0.03(3-2q) equation:

Simplifying
0.21(4q + -9) + -1q = 0.03(3 + -2q)

Reorder the terms:
0.21(-9 + 4q) + -1q = 0.03(3 + -2q)
(-9 * 0.21 + 4q * 0.21) + -1q = 0.03(3 + -2q)
(-1.89 + 0.84q) + -1q = 0.03(3 + -2q)

Combine like terms: 0.84q + -1q = -0.16q
-1.89 + -0.16q = 0.03(3 + -2q)
-1.89 + -0.16q = (3 * 0.03 + -2q * 0.03)
-1.89 + -0.16q = (0.09 + -0.06q)

Solving
-1.89 + -0.16q = 0.09 + -0.06q

Solving for variable 'q'.

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

Add '0.06q' to each side of the equation.
-1.89 + -0.16q + 0.06q = 0.09 + -0.06q + 0.06q

Combine like terms: -0.16q + 0.06q = -0.1q
-1.89 + -0.1q = 0.09 + -0.06q + 0.06q

Combine like terms: -0.06q + 0.06q = 0.00
-1.89 + -0.1q = 0.09 + 0.00
-1.89 + -0.1q = 0.09

Add '1.89' to each side of the equation.
-1.89 + 1.89 + -0.1q = 0.09 + 1.89

Combine like terms: -1.89 + 1.89 = 0.00
0.00 + -0.1q = 0.09 + 1.89
-0.1q = 0.09 + 1.89

Combine like terms: 0.09 + 1.89 = 1.98
-0.1q = 1.98

Divide each side by '-0.1'.
q = -19.8

Simplifying
q = -19.8