-2(8n-7)+3(3+5n)=21

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Solution for -2(8n-7)+3(3+5n)=21 equation:


Simplifying
-2(8n + -7) + 3(3 + 5n) = 21

Reorder the terms:
-2(-7 + 8n) + 3(3 + 5n) = 21
(-7 * -2 + 8n * -2) + 3(3 + 5n) = 21
(14 + -16n) + 3(3 + 5n) = 21
14 + -16n + (3 * 3 + 5n * 3) = 21
14 + -16n + (9 + 15n) = 21

Reorder the terms:
14 + 9 + -16n + 15n = 21

Combine like terms: 14 + 9 = 23
23 + -16n + 15n = 21

Combine like terms: -16n + 15n = -1n
23 + -1n = 21

Solving
23 + -1n = 21

Solving for variable 'n'.

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

Add '-23' to each side of the equation.
23 + -23 + -1n = 21 + -23

Combine like terms: 23 + -23 = 0
0 + -1n = 21 + -23
-1n = 21 + -23

Combine like terms: 21 + -23 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2

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