7(3n-2)+3(5n-4)=46

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Solution for 7(3n-2)+3(5n-4)=46 equation: 


Simplifying
7(3n + -2) + 3(5n + -4) = 46

Reorder the terms:
7(-2 + 3n) + 3(5n + -4) = 46
(-2 * 7 + 3n * 7) + 3(5n + -4) = 46
(-14 + 21n) + 3(5n + -4) = 46

Reorder the terms:
-14 + 21n + 3(-4 + 5n) = 46
-14 + 21n + (-4 * 3 + 5n * 3) = 46
-14 + 21n + (-12 + 15n) = 46

Reorder the terms:
-14 + -12 + 21n + 15n = 46

Combine like terms: -14 + -12 = -26
-26 + 21n + 15n = 46

Combine like terms: 21n + 15n = 36n
-26 + 36n = 46

Solving
-26 + 36n = 46

Solving for variable 'n'.

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

Add '26' to each side of the equation.
-26 + 26 + 36n = 46 + 26

Combine like terms: -26 + 26 = 0
0 + 36n = 46 + 26
36n = 46 + 26

Combine like terms: 46 + 26 = 72
36n = 72

Divide each side by '36'.
n = 2

Simplifying
n = 2

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