4(3n+4)=7(8n+7)+2

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Solution for 4(3n+4)=7(8n+7)+2 equation:


Simplifying
4(3n + 4) = 7(8n + 7) + 2

Reorder the terms:
4(4 + 3n) = 7(8n + 7) + 2
(4 * 4 + 3n * 4) = 7(8n + 7) + 2
(16 + 12n) = 7(8n + 7) + 2

Reorder the terms:
16 + 12n = 7(7 + 8n) + 2
16 + 12n = (7 * 7 + 8n * 7) + 2
16 + 12n = (49 + 56n) + 2

Reorder the terms:
16 + 12n = 49 + 2 + 56n

Combine like terms: 49 + 2 = 51
16 + 12n = 51 + 56n

Solving
16 + 12n = 51 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
16 + 12n + -56n = 51 + 56n + -56n

Combine like terms: 12n + -56n = -44n
16 + -44n = 51 + 56n + -56n

Combine like terms: 56n + -56n = 0
16 + -44n = 51 + 0
16 + -44n = 51

Add '-16' to each side of the equation.
16 + -16 + -44n = 51 + -16

Combine like terms: 16 + -16 = 0
0 + -44n = 51 + -16
-44n = 51 + -16

Combine like terms: 51 + -16 = 35
-44n = 35

Divide each side by '-44'.
n = -0.7954545455

Simplifying
n = -0.7954545455

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