0.25q+0.1(2q)+0.05(q+12)=4.60

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Solution for 0.25q+0.1(2q)+0.05(q+12)=4.60 equation:


Simplifying
0.25q + 0.1(2q) + 0.05(q + 12) = 4.60

Remove parenthesis around (2q)
0.25q + 0.1 * 2q + 0.05(q + 12) = 4.60

Multiply 0.1 * 2
0.25q + 0.2q + 0.05(q + 12) = 4.60

Reorder the terms:
0.25q + 0.2q + 0.05(12 + q) = 4.60
0.25q + 0.2q + (12 * 0.05 + q * 0.05) = 4.60
0.25q + 0.2q + (0.6 + 0.05q) = 4.60

Reorder the terms:
0.6 + 0.25q + 0.2q + 0.05q = 4.60

Combine like terms: 0.25q + 0.2q = 0.45q
0.6 + 0.45q + 0.05q = 4.60

Combine like terms: 0.45q + 0.05q = 0.5q
0.6 + 0.5q = 4.60

Solving
0.6 + 0.5q = 4.60

Solving for variable 'q'.

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

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.5q = 4.60 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.5q = 4.60 + -0.6
0.5q = 4.60 + -0.6

Combine like terms: 4.60 + -0.6 = 4
0.5q = 4

Divide each side by '0.5'.
q = 8

Simplifying
q = 8

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