4(q+1)=2q+11

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Solution for 4(q+1)=2q+11 equation:


Simplifying
4(q + 1) = 2q + 11

Reorder the terms:
4(1 + q) = 2q + 11
(1 * 4 + q * 4) = 2q + 11
(4 + 4q) = 2q + 11

Reorder the terms:
4 + 4q = 11 + 2q

Solving
4 + 4q = 11 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
4 + 4q + -2q = 11 + 2q + -2q

Combine like terms: 4q + -2q = 2q
4 + 2q = 11 + 2q + -2q

Combine like terms: 2q + -2q = 0
4 + 2q = 11 + 0
4 + 2q = 11

Add '-4' to each side of the equation.
4 + -4 + 2q = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 2q = 11 + -4
2q = 11 + -4

Combine like terms: 11 + -4 = 7
2q = 7

Divide each side by '2'.
q = 3.5

Simplifying
q = 3.5

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