-5n+19=-7(-4n+2)

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Solution for -5n+19=-7(-4n+2) equation:


Simplifying
-5n + 19 = -7(-4n + 2)

Reorder the terms:
19 + -5n = -7(-4n + 2)

Reorder the terms:
19 + -5n = -7(2 + -4n)
19 + -5n = (2 * -7 + -4n * -7)
19 + -5n = (-14 + 28n)

Solving
19 + -5n = -14 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
19 + -5n + -28n = -14 + 28n + -28n

Combine like terms: -5n + -28n = -33n
19 + -33n = -14 + 28n + -28n

Combine like terms: 28n + -28n = 0
19 + -33n = -14 + 0
19 + -33n = -14

Add '-19' to each side of the equation.
19 + -19 + -33n = -14 + -19

Combine like terms: 19 + -19 = 0
0 + -33n = -14 + -19
-33n = -14 + -19

Combine like terms: -14 + -19 = -33
-33n = -33

Divide each side by '-33'.
n = 1

Simplifying
n = 1

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