0.12(5q-1)-q=0.15(7-2q)

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Solution for 0.12(5q-1)-q=0.15(7-2q) equation: 


Simplifying
0.12(5q + -1) + -1q = 0.15(7 + -2q)

Reorder the terms:
0.12(-1 + 5q) + -1q = 0.15(7 + -2q)
(-1 * 0.12 + 5q * 0.12) + -1q = 0.15(7 + -2q)
(-0.12 + 0.6q) + -1q = 0.15(7 + -2q)

Combine like terms: 0.6q + -1q = -0.4q
-0.12 + -0.4q = 0.15(7 + -2q)
-0.12 + -0.4q = (7 * 0.15 + -2q * 0.15)
-0.12 + -0.4q = (1.05 + -0.3q)

Solving
-0.12 + -0.4q = 1.05 + -0.3q

Solving for variable 'q'.

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

Add '0.3q' to each side of the equation.
-0.12 + -0.4q + 0.3q = 1.05 + -0.3q + 0.3q

Combine like terms: -0.4q + 0.3q = -0.1q
-0.12 + -0.1q = 1.05 + -0.3q + 0.3q

Combine like terms: -0.3q + 0.3q = 0.0
-0.12 + -0.1q = 1.05 + 0.0
-0.12 + -0.1q = 1.05

Add '0.12' to each side of the equation.
-0.12 + 0.12 + -0.1q = 1.05 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + -0.1q = 1.05 + 0.12
-0.1q = 1.05 + 0.12

Combine like terms: 1.05 + 0.12 = 1.17
-0.1q = 1.17

Divide each side by '-0.1'.
q = -11.7

Simplifying
q = -11.7

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