-7(1+5)+6(1+4n)=13

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Solution for -7(1+5)+6(1+4n)=13 equation:


Simplifying
-7(1 + 5) + 6(1 + 4n) = 13

Combine like terms: 1 + 5 = 6
-7(6) + 6(1 + 4n) = 13

Multiply -7 * 6
-42 + 6(1 + 4n) = 13
-42 + (1 * 6 + 4n * 6) = 13
-42 + (6 + 24n) = 13

Combine like terms: -42 + 6 = -36
-36 + 24n = 13

Solving
-36 + 24n = 13

Solving for variable 'n'.

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

Add '36' to each side of the equation.
-36 + 36 + 24n = 13 + 36

Combine like terms: -36 + 36 = 0
0 + 24n = 13 + 36
24n = 13 + 36

Combine like terms: 13 + 36 = 49
24n = 49

Divide each side by '24'.
n = 2.041666667

Simplifying
n = 2.041666667

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