-7(3n+5)=1-3n

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Solution for -7(3n+5)=1-3n equation:


Simplifying
-7(3n + 5) = 1 + -3n

Reorder the terms:
-7(5 + 3n) = 1 + -3n
(5 * -7 + 3n * -7) = 1 + -3n
(-35 + -21n) = 1 + -3n

Solving
-35 + -21n = 1 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
-35 + -21n + 3n = 1 + -3n + 3n

Combine like terms: -21n + 3n = -18n
-35 + -18n = 1 + -3n + 3n

Combine like terms: -3n + 3n = 0
-35 + -18n = 1 + 0
-35 + -18n = 1

Add '35' to each side of the equation.
-35 + 35 + -18n = 1 + 35

Combine like terms: -35 + 35 = 0
0 + -18n = 1 + 35
-18n = 1 + 35

Combine like terms: 1 + 35 = 36
-18n = 36

Divide each side by '-18'.
n = -2

Simplifying
n = -2

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