-5n+8(3n+5)=-36

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Solution for -5n+8(3n+5)=-36 equation:


Simplifying
-5n + 8(3n + 5) = -36

Reorder the terms:
-5n + 8(5 + 3n) = -36
-5n + (5 * 8 + 3n * 8) = -36
-5n + (40 + 24n) = -36

Reorder the terms:
40 + -5n + 24n = -36

Combine like terms: -5n + 24n = 19n
40 + 19n = -36

Solving
40 + 19n = -36

Solving for variable 'n'.

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

Add '-40' to each side of the equation.
40 + -40 + 19n = -36 + -40

Combine like terms: 40 + -40 = 0
0 + 19n = -36 + -40
19n = -36 + -40

Combine like terms: -36 + -40 = -76
19n = -76

Divide each side by '19'.
n = -4

Simplifying
n = -4

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