7(7n+7)-4(n+5)=74

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Solution for 7(7n+7)-4(n+5)=74 equation: 


Simplifying
7(7n + 7) + -4(n + 5) = 74

Reorder the terms:
7(7 + 7n) + -4(n + 5) = 74
(7 * 7 + 7n * 7) + -4(n + 5) = 74
(49 + 49n) + -4(n + 5) = 74

Reorder the terms:
49 + 49n + -4(5 + n) = 74
49 + 49n + (5 * -4 + n * -4) = 74
49 + 49n + (-20 + -4n) = 74

Reorder the terms:
49 + -20 + 49n + -4n = 74

Combine like terms: 49 + -20 = 29
29 + 49n + -4n = 74

Combine like terms: 49n + -4n = 45n
29 + 45n = 74

Solving
29 + 45n = 74

Solving for variable 'n'.

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

Add '-29' to each side of the equation.
29 + -29 + 45n = 74 + -29

Combine like terms: 29 + -29 = 0
0 + 45n = 74 + -29
45n = 74 + -29

Combine like terms: 74 + -29 = 45
45n = 45

Divide each side by '45'.
n = 1

Simplifying
n = 1

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