8(2-(q+2(q-3))+1)=3-(8-3q)

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Solution for 8(2-(q+2(q-3))+1)=3-(8-3q) equation: 


Simplifying
8(2 + -1(q + 2(q + -3)) + 1) = 3 + -1(8 + -3q)

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

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

Combine like terms: q + 2q = 3q
8(2 + -1(-6 + 3q) + 1) = 3 + -1(8 + -3q)
8(2 + (-6 * -1 + 3q * -1) + 1) = 3 + -1(8 + -3q)
8(2 + (6 + -3q) + 1) = 3 + -1(8 + -3q)

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

Combine like terms: 2 + 6 = 8
8(8 + 1 + -3q) = 3 + -1(8 + -3q)

Combine like terms: 8 + 1 = 9
8(9 + -3q) = 3 + -1(8 + -3q)
(9 * 8 + -3q * 8) = 3 + -1(8 + -3q)
(72 + -24q) = 3 + -1(8 + -3q)
72 + -24q = 3 + (8 * -1 + -3q * -1)
72 + -24q = 3 + (-8 + 3q)

Combine like terms: 3 + -8 = -5
72 + -24q = -5 + 3q

Solving
72 + -24q = -5 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
72 + -24q + -3q = -5 + 3q + -3q

Combine like terms: -24q + -3q = -27q
72 + -27q = -5 + 3q + -3q

Combine like terms: 3q + -3q = 0
72 + -27q = -5 + 0
72 + -27q = -5

Add '-72' to each side of the equation.
72 + -72 + -27q = -5 + -72

Combine like terms: 72 + -72 = 0
0 + -27q = -5 + -72
-27q = -5 + -72

Combine like terms: -5 + -72 = -77
-27q = -77

Divide each side by '-27'.
q = 2.851851852

Simplifying
q = 2.851851852

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