3q-1=10q+7

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Solution for 3q-1=10q+7 equation:


Simplifying
3q + -1 = 10q + 7

Reorder the terms:
-1 + 3q = 10q + 7

Reorder the terms:
-1 + 3q = 7 + 10q

Solving
-1 + 3q = 7 + 10q

Solving for variable 'q'.

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

Add '-10q' to each side of the equation.
-1 + 3q + -10q = 7 + 10q + -10q

Combine like terms: 3q + -10q = -7q
-1 + -7q = 7 + 10q + -10q

Combine like terms: 10q + -10q = 0
-1 + -7q = 7 + 0
-1 + -7q = 7

Add '1' to each side of the equation.
-1 + 1 + -7q = 7 + 1

Combine like terms: -1 + 1 = 0
0 + -7q = 7 + 1
-7q = 7 + 1

Combine like terms: 7 + 1 = 8
-7q = 8

Divide each side by '-7'.
q = -1.142857143

Simplifying
q = -1.142857143

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