3q+16=7q+10

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Solution for 3q+16=7q+10 equation:


Simplifying
3q + 16 = 7q + 10

Reorder the terms:
16 + 3q = 7q + 10

Reorder the terms:
16 + 3q = 10 + 7q

Solving
16 + 3q = 10 + 7q

Solving for variable 'q'.

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

Add '-7q' to each side of the equation.
16 + 3q + -7q = 10 + 7q + -7q

Combine like terms: 3q + -7q = -4q
16 + -4q = 10 + 7q + -7q

Combine like terms: 7q + -7q = 0
16 + -4q = 10 + 0
16 + -4q = 10

Add '-16' to each side of the equation.
16 + -16 + -4q = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -4q = 10 + -16
-4q = 10 + -16

Combine like terms: 10 + -16 = -6
-4q = -6

Divide each side by '-4'.
q = 1.5

Simplifying
q = 1.5

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