-1-5(1+3n)=8(2n+3)+1

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Solution for -1-5(1+3n)=8(2n+3)+1 equation:


Simplifying
-1 + -5(1 + 3n) = 8(2n + 3) + 1
-1 + (1 * -5 + 3n * -5) = 8(2n + 3) + 1
-1 + (-5 + -15n) = 8(2n + 3) + 1

Combine like terms: -1 + -5 = -6
-6 + -15n = 8(2n + 3) + 1

Reorder the terms:
-6 + -15n = 8(3 + 2n) + 1
-6 + -15n = (3 * 8 + 2n * 8) + 1
-6 + -15n = (24 + 16n) + 1

Reorder the terms:
-6 + -15n = 24 + 1 + 16n

Combine like terms: 24 + 1 = 25
-6 + -15n = 25 + 16n

Solving
-6 + -15n = 25 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
-6 + -15n + -16n = 25 + 16n + -16n

Combine like terms: -15n + -16n = -31n
-6 + -31n = 25 + 16n + -16n

Combine like terms: 16n + -16n = 0
-6 + -31n = 25 + 0
-6 + -31n = 25

Add '6' to each side of the equation.
-6 + 6 + -31n = 25 + 6

Combine like terms: -6 + 6 = 0
0 + -31n = 25 + 6
-31n = 25 + 6

Combine like terms: 25 + 6 = 31
-31n = 31

Divide each side by '-31'.
n = -1

Simplifying
n = -1

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