5(7n+8)-2(4n+6)=3(n-8)+d

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Solution for 5(7n+8)-2(4n+6)=3(n-8)+d equation:


Simplifying
5(7n + 8) + -2(4n + 6) = 3(n + -8) + d

Reorder the terms:
5(8 + 7n) + -2(4n + 6) = 3(n + -8) + d
(8 * 5 + 7n * 5) + -2(4n + 6) = 3(n + -8) + d
(40 + 35n) + -2(4n + 6) = 3(n + -8) + d

Reorder the terms:
40 + 35n + -2(6 + 4n) = 3(n + -8) + d
40 + 35n + (6 * -2 + 4n * -2) = 3(n + -8) + d
40 + 35n + (-12 + -8n) = 3(n + -8) + d

Reorder the terms:
40 + -12 + 35n + -8n = 3(n + -8) + d

Combine like terms: 40 + -12 = 28
28 + 35n + -8n = 3(n + -8) + d

Combine like terms: 35n + -8n = 27n
28 + 27n = 3(n + -8) + d

Reorder the terms:
28 + 27n = 3(-8 + n) + d
28 + 27n = (-8 * 3 + n * 3) + d
28 + 27n = (-24 + 3n) + d

Reorder the terms:
28 + 27n = -24 + d + 3n

Solving
28 + 27n = -24 + d + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
28 + 27n + -3n = -24 + d + 3n + -3n

Combine like terms: 27n + -3n = 24n
28 + 24n = -24 + d + 3n + -3n

Combine like terms: 3n + -3n = 0
28 + 24n = -24 + d + 0
28 + 24n = -24 + d

Add '-28' to each side of the equation.
28 + -28 + 24n = -24 + -28 + d

Combine like terms: 28 + -28 = 0
0 + 24n = -24 + -28 + d
24n = -24 + -28 + d

Combine like terms: -24 + -28 = -52
24n = -52 + d

Divide each side by '24'.
n = -2.166666667 + 0.04166666667d

Simplifying
n = -2.166666667 + 0.04166666667d

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