Solve the following equation
0.05(3q-2)+0.25q=8.30
Solve for q
0.05(3q - 2) + 0.25q = 8.30
Simplify by removing parentheses
Simplify 0.05(3q - 2):
Distribute the 0.05 to each term in (3q-2)
0.05 * 3q = (0.05 * 3)q = 0.15q
0.05 * -2 = (0.05 * -2) = -0.1
Our Total expanded term is 0.15q-0.1
Our new term is
0.15q - 0.1 + 0.25q = 8.30
Simplify by removing parentheses
Our new term is
0.15q - 0.1 + 0.25q = 8.30
Group the q terms on the left:
(0.15 + 0.25)q = 0.4q
Form modified equation
0.4q - 0.1 = + 8.3
Divide each side by 0.15
Group constants
Group our constants -0.1 and 8.30.
add 0.1 to both sides
0.4q - 0.1 + 0.1 = 8.30 + 0.1
Cancel 0.1 on the left side:
0.4q = 8.4
Divide each side of the equation by 0.4
q = 21
Final Answer
q = 21