5+3(9-4)=2(q-1)

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Solution for 5+3(9-4)=2(q-1) equation:


Simplifying
5 + 3(9 + -4) = 2(q + -1)

Combine like terms: 9 + -4 = 5
5 + 3(5) = 2(q + -1)

Multiply 3 * 5
5 + 15 = 2(q + -1)

Combine like terms: 5 + 15 = 20
20 = 2(q + -1)

Reorder the terms:
20 = 2(-1 + q)
20 = (-1 * 2 + q * 2)
20 = (-2 + 2q)

Solving
20 = -2 + 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.
20 + -2q = -2 + 2q + -2q

Combine like terms: 2q + -2q = 0
20 + -2q = -2 + 0
20 + -2q = -2

Add '-20' to each side of the equation.
20 + -20 + -2q = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -2q = -2 + -20
-2q = -2 + -20

Combine like terms: -2 + -20 = -22
-2q = -22

Divide each side by '-2'.
q = 11

Simplifying
q = 11

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