5+8(q-4)=2(q+1)

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Solution for 5+8(q-4)=2(q+1) equation:


Simplifying
5 + 8(q + -4) = 2(q + 1)

Reorder the terms:
5 + 8(-4 + q) = 2(q + 1)
5 + (-4 * 8 + q * 8) = 2(q + 1)
5 + (-32 + 8q) = 2(q + 1)

Combine like terms: 5 + -32 = -27
-27 + 8q = 2(q + 1)

Reorder the terms:
-27 + 8q = 2(1 + q)
-27 + 8q = (1 * 2 + q * 2)
-27 + 8q = (2 + 2q)

Solving
-27 + 8q = 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.
-27 + 8q + -2q = 2 + 2q + -2q

Combine like terms: 8q + -2q = 6q
-27 + 6q = 2 + 2q + -2q

Combine like terms: 2q + -2q = 0
-27 + 6q = 2 + 0
-27 + 6q = 2

Add '27' to each side of the equation.
-27 + 27 + 6q = 2 + 27

Combine like terms: -27 + 27 = 0
0 + 6q = 2 + 27
6q = 2 + 27

Combine like terms: 2 + 27 = 29
6q = 29

Divide each side by '6'.
q = 4.833333333

Simplifying
q = 4.833333333

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