6(2n-5)+16=10n-18

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Solution for 6(2n-5)+16=10n-18 equation:


Simplifying
6(2n + -5) + 16 = 10n + -18

Reorder the terms:
6(-5 + 2n) + 16 = 10n + -18
(-5 * 6 + 2n * 6) + 16 = 10n + -18
(-30 + 12n) + 16 = 10n + -18

Reorder the terms:
-30 + 16 + 12n = 10n + -18

Combine like terms: -30 + 16 = -14
-14 + 12n = 10n + -18

Reorder the terms:
-14 + 12n = -18 + 10n

Solving
-14 + 12n = -18 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-14 + 12n + -10n = -18 + 10n + -10n

Combine like terms: 12n + -10n = 2n
-14 + 2n = -18 + 10n + -10n

Combine like terms: 10n + -10n = 0
-14 + 2n = -18 + 0
-14 + 2n = -18

Add '14' to each side of the equation.
-14 + 14 + 2n = -18 + 14

Combine like terms: -14 + 14 = 0
0 + 2n = -18 + 14
2n = -18 + 14

Combine like terms: -18 + 14 = -4
2n = -4

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

Simplifying
n = -2

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