2(1+3n)-8(-5n+4)=62

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Solution for 2(1+3n)-8(-5n+4)=62 equation:


Simplifying
2(1 + 3n) + -8(-5n + 4) = 62
(1 * 2 + 3n * 2) + -8(-5n + 4) = 62
(2 + 6n) + -8(-5n + 4) = 62

Reorder the terms:
2 + 6n + -8(4 + -5n) = 62
2 + 6n + (4 * -8 + -5n * -8) = 62
2 + 6n + (-32 + 40n) = 62

Reorder the terms:
2 + -32 + 6n + 40n = 62

Combine like terms: 2 + -32 = -30
-30 + 6n + 40n = 62

Combine like terms: 6n + 40n = 46n
-30 + 46n = 62

Solving
-30 + 46n = 62

Solving for variable 'n'.

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

Add '30' to each side of the equation.
-30 + 30 + 46n = 62 + 30

Combine like terms: -30 + 30 = 0
0 + 46n = 62 + 30
46n = 62 + 30

Combine like terms: 62 + 30 = 92
46n = 92

Divide each side by '46'.
n = 2

Simplifying
n = 2

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