1-2(7n+11)=-4(-11+4n)+7

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Solution for 1-2(7n+11)=-4(-11+4n)+7 equation:


Simplifying
1 + -2(7n + 11) = -4(-11 + 4n) + 7

Reorder the terms:
1 + -2(11 + 7n) = -4(-11 + 4n) + 7
1 + (11 * -2 + 7n * -2) = -4(-11 + 4n) + 7
1 + (-22 + -14n) = -4(-11 + 4n) + 7

Combine like terms: 1 + -22 = -21
-21 + -14n = -4(-11 + 4n) + 7
-21 + -14n = (-11 * -4 + 4n * -4) + 7
-21 + -14n = (44 + -16n) + 7

Reorder the terms:
-21 + -14n = 44 + 7 + -16n

Combine like terms: 44 + 7 = 51
-21 + -14n = 51 + -16n

Solving
-21 + -14n = 51 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
-21 + -14n + 16n = 51 + -16n + 16n

Combine like terms: -14n + 16n = 2n
-21 + 2n = 51 + -16n + 16n

Combine like terms: -16n + 16n = 0
-21 + 2n = 51 + 0
-21 + 2n = 51

Add '21' to each side of the equation.
-21 + 21 + 2n = 51 + 21

Combine like terms: -21 + 21 = 0
0 + 2n = 51 + 21
2n = 51 + 21

Combine like terms: 51 + 21 = 72
2n = 72

Divide each side by '2'.
n = 36

Simplifying
n = 36

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