2(5q+4)-3(2q+1)=25

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Solution for 2(5q+4)-3(2q+1)=25 equation:


Simplifying
2(5q + 4) + -3(2q + 1) = 25

Reorder the terms:
2(4 + 5q) + -3(2q + 1) = 25
(4 * 2 + 5q * 2) + -3(2q + 1) = 25
(8 + 10q) + -3(2q + 1) = 25

Reorder the terms:
8 + 10q + -3(1 + 2q) = 25
8 + 10q + (1 * -3 + 2q * -3) = 25
8 + 10q + (-3 + -6q) = 25

Reorder the terms:
8 + -3 + 10q + -6q = 25

Combine like terms: 8 + -3 = 5
5 + 10q + -6q = 25

Combine like terms: 10q + -6q = 4q
5 + 4q = 25

Solving
5 + 4q = 25

Solving for variable 'q'.

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

Add '-5' to each side of the equation.
5 + -5 + 4q = 25 + -5

Combine like terms: 5 + -5 = 0
0 + 4q = 25 + -5
4q = 25 + -5

Combine like terms: 25 + -5 = 20
4q = 20

Divide each side by '4'.
q = 5

Simplifying
q = 5

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