7(1+5n)+6(1+4n)=3

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Solution for 7(1+5n)+6(1+4n)=3 equation:


Simplifying
7(1 + 5n) + 6(1 + 4n) = 3
(1 * 7 + 5n * 7) + 6(1 + 4n) = 3
(7 + 35n) + 6(1 + 4n) = 3
7 + 35n + (1 * 6 + 4n * 6) = 3
7 + 35n + (6 + 24n) = 3

Reorder the terms:
7 + 6 + 35n + 24n = 3

Combine like terms: 7 + 6 = 13
13 + 35n + 24n = 3

Combine like terms: 35n + 24n = 59n
13 + 59n = 3

Solving
13 + 59n = 3

Solving for variable 'n'.

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

Add '-13' to each side of the equation.
13 + -13 + 59n = 3 + -13

Combine like terms: 13 + -13 = 0
0 + 59n = 3 + -13
59n = 3 + -13

Combine like terms: 3 + -13 = -10
59n = -10

Divide each side by '59'.
n = -0.1694915254

Simplifying
n = -0.1694915254

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