-6(1-3n)=-7(10n-11)+5n

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Solution for -6(1-3n)=-7(10n-11)+5n equation:


Simplifying
-6(1 + -3n) = -7(10n + -11) + 5n
(1 * -6 + -3n * -6) = -7(10n + -11) + 5n
(-6 + 18n) = -7(10n + -11) + 5n

Reorder the terms:
-6 + 18n = -7(-11 + 10n) + 5n
-6 + 18n = (-11 * -7 + 10n * -7) + 5n
-6 + 18n = (77 + -70n) + 5n

Combine like terms: -70n + 5n = -65n
-6 + 18n = 77 + -65n

Solving
-6 + 18n = 77 + -65n

Solving for variable 'n'.

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

Add '65n' to each side of the equation.
-6 + 18n + 65n = 77 + -65n + 65n

Combine like terms: 18n + 65n = 83n
-6 + 83n = 77 + -65n + 65n

Combine like terms: -65n + 65n = 0
-6 + 83n = 77 + 0
-6 + 83n = 77

Add '6' to each side of the equation.
-6 + 6 + 83n = 77 + 6

Combine like terms: -6 + 6 = 0
0 + 83n = 77 + 6
83n = 77 + 6

Combine like terms: 77 + 6 = 83
83n = 83

Divide each side by '83'.
n = 1

Simplifying
n = 1

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