6(3n+4)=7(8n+4)+7

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Solution for 6(3n+4)=7(8n+4)+7 equation:


Simplifying
6(3n + 4) = 7(8n + 4) + 7

Reorder the terms:
6(4 + 3n) = 7(8n + 4) + 7
(4 * 6 + 3n * 6) = 7(8n + 4) + 7
(24 + 18n) = 7(8n + 4) + 7

Reorder the terms:
24 + 18n = 7(4 + 8n) + 7
24 + 18n = (4 * 7 + 8n * 7) + 7
24 + 18n = (28 + 56n) + 7

Reorder the terms:
24 + 18n = 28 + 7 + 56n

Combine like terms: 28 + 7 = 35
24 + 18n = 35 + 56n

Solving
24 + 18n = 35 + 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.
24 + 18n + -56n = 35 + 56n + -56n

Combine like terms: 18n + -56n = -38n
24 + -38n = 35 + 56n + -56n

Combine like terms: 56n + -56n = 0
24 + -38n = 35 + 0
24 + -38n = 35

Add '-24' to each side of the equation.
24 + -24 + -38n = 35 + -24

Combine like terms: 24 + -24 = 0
0 + -38n = 35 + -24
-38n = 35 + -24

Combine like terms: 35 + -24 = 11
-38n = 11

Divide each side by '-38'.
n = -0.2894736842

Simplifying
n = -0.2894736842

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