4(4n-3)+9(5n-9)=29

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Solution for 4(4n-3)+9(5n-9)=29 equation: 


Simplifying
4(4n + -3) + 9(5n + -9) = 29

Reorder the terms:
4(-3 + 4n) + 9(5n + -9) = 29
(-3 * 4 + 4n * 4) + 9(5n + -9) = 29
(-12 + 16n) + 9(5n + -9) = 29

Reorder the terms:
-12 + 16n + 9(-9 + 5n) = 29
-12 + 16n + (-9 * 9 + 5n * 9) = 29
-12 + 16n + (-81 + 45n) = 29

Reorder the terms:
-12 + -81 + 16n + 45n = 29

Combine like terms: -12 + -81 = -93
-93 + 16n + 45n = 29

Combine like terms: 16n + 45n = 61n
-93 + 61n = 29

Solving
-93 + 61n = 29

Solving for variable 'n'.

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

Add '93' to each side of the equation.
-93 + 93 + 61n = 29 + 93

Combine like terms: -93 + 93 = 0
0 + 61n = 29 + 93
61n = 29 + 93

Combine like terms: 29 + 93 = 122
61n = 122

Divide each side by '61'.
n = 2

Simplifying
n = 2

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