7[1+5n]+6[1+4n]=13

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Solution for 7[1+5n]+6[1+4n]=13 equation:


Simplifying
7[1 + 5n] + 6[1 + 4n] = 13
[1 * 7 + 5n * 7] + 6[1 + 4n] = 13
[7 + 35n] + 6[1 + 4n] = 13
7 + 35n + [1 * 6 + 4n * 6] = 13
7 + 35n + [6 + 24n] = 13

Reorder the terms:
7 + 6 + 35n + 24n = 13

Combine like terms: 7 + 6 = 13
13 + 35n + 24n = 13

Combine like terms: 35n + 24n = 59n
13 + 59n = 13

Add '-13' to each side of the equation.
13 + -13 + 59n = 13 + -13

Combine like terms: 13 + -13 = 0
0 + 59n = 13 + -13
59n = 13 + -13

Combine like terms: 13 + -13 = 0
59n = 0

Solving
59n = 0

Solving for variable 'n'.

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

Divide each side by '59'.
n = 0

Simplifying
n = 0

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