-26=1+3(5n+6)

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Solution for -26=1+3(5n+6) equation:


Simplifying
-26 = 1 + 3(5n + 6)

Reorder the terms:
-26 = 1 + 3(6 + 5n)
-26 = 1 + (6 * 3 + 5n * 3)
-26 = 1 + (18 + 15n)

Combine like terms: 1 + 18 = 19
-26 = 19 + 15n

Solving
-26 = 19 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
-26 + -15n = 19 + 15n + -15n

Combine like terms: 15n + -15n = 0
-26 + -15n = 19 + 0
-26 + -15n = 19

Add '26' to each side of the equation.
-26 + 26 + -15n = 19 + 26

Combine like terms: -26 + 26 = 0
0 + -15n = 19 + 26
-15n = 19 + 26

Combine like terms: 19 + 26 = 45
-15n = 45

Divide each side by '-15'.
n = -3

Simplifying
n = -3

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