3(2q+3)+4(q-2)=a

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Solution for 3(2q+3)+4(q-2)=a equation:


Simplifying
3(2q + 3) + 4(q + -2) = a

Reorder the terms:
3(3 + 2q) + 4(q + -2) = a
(3 * 3 + 2q * 3) + 4(q + -2) = a
(9 + 6q) + 4(q + -2) = a

Reorder the terms:
9 + 6q + 4(-2 + q) = a
9 + 6q + (-2 * 4 + q * 4) = a
9 + 6q + (-8 + 4q) = a

Reorder the terms:
9 + -8 + 6q + 4q = a

Combine like terms: 9 + -8 = 1
1 + 6q + 4q = a

Combine like terms: 6q + 4q = 10q
1 + 10q = a

Solving
1 + 10q = a

Solving for variable 'q'.

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

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

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

Divide each side by '10'.
q = -0.1 + 0.1a

Simplifying
q = -0.1 + 0.1a

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