-7(2n-1)=-4n-33

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Solution for -7(2n-1)=-4n-33 equation:


Simplifying
-7(2n + -1) = -4n + -33

Reorder the terms:
-7(-1 + 2n) = -4n + -33
(-1 * -7 + 2n * -7) = -4n + -33
(7 + -14n) = -4n + -33

Reorder the terms:
7 + -14n = -33 + -4n

Solving
7 + -14n = -33 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
7 + -14n + 4n = -33 + -4n + 4n

Combine like terms: -14n + 4n = -10n
7 + -10n = -33 + -4n + 4n

Combine like terms: -4n + 4n = 0
7 + -10n = -33 + 0
7 + -10n = -33

Add '-7' to each side of the equation.
7 + -7 + -10n = -33 + -7

Combine like terms: 7 + -7 = 0
0 + -10n = -33 + -7
-10n = -33 + -7

Combine like terms: -33 + -7 = -40
-10n = -40

Divide each side by '-10'.
n = 4

Simplifying
n = 4

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