2(n-5)-6(8n+3)=18

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Solution for 2(n-5)-6(8n+3)=18 equation:


Simplifying
2(n + -5) + -6(8n + 3) = 18

Reorder the terms:
2(-5 + n) + -6(8n + 3) = 18
(-5 * 2 + n * 2) + -6(8n + 3) = 18
(-10 + 2n) + -6(8n + 3) = 18

Reorder the terms:
-10 + 2n + -6(3 + 8n) = 18
-10 + 2n + (3 * -6 + 8n * -6) = 18
-10 + 2n + (-18 + -48n) = 18

Reorder the terms:
-10 + -18 + 2n + -48n = 18

Combine like terms: -10 + -18 = -28
-28 + 2n + -48n = 18

Combine like terms: 2n + -48n = -46n
-28 + -46n = 18

Solving
-28 + -46n = 18

Solving for variable 'n'.

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

Add '28' to each side of the equation.
-28 + 28 + -46n = 18 + 28

Combine like terms: -28 + 28 = 0
0 + -46n = 18 + 28
-46n = 18 + 28

Combine like terms: 18 + 28 = 46
-46n = 46

Divide each side by '-46'.
n = -1

Simplifying
n = -1

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