8+2(7n+3)=-8(-5n+3)+2

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Solution for 8+2(7n+3)=-8(-5n+3)+2 equation:


Simplifying
8 + 2(7n + 3) = -8(-5n + 3) + 2

Reorder the terms:
8 + 2(3 + 7n) = -8(-5n + 3) + 2
8 + (3 * 2 + 7n * 2) = -8(-5n + 3) + 2
8 + (6 + 14n) = -8(-5n + 3) + 2

Combine like terms: 8 + 6 = 14
14 + 14n = -8(-5n + 3) + 2

Reorder the terms:
14 + 14n = -8(3 + -5n) + 2
14 + 14n = (3 * -8 + -5n * -8) + 2
14 + 14n = (-24 + 40n) + 2

Reorder the terms:
14 + 14n = -24 + 2 + 40n

Combine like terms: -24 + 2 = -22
14 + 14n = -22 + 40n

Solving
14 + 14n = -22 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
14 + 14n + -40n = -22 + 40n + -40n

Combine like terms: 14n + -40n = -26n
14 + -26n = -22 + 40n + -40n

Combine like terms: 40n + -40n = 0
14 + -26n = -22 + 0
14 + -26n = -22

Add '-14' to each side of the equation.
14 + -14 + -26n = -22 + -14

Combine like terms: 14 + -14 = 0
0 + -26n = -22 + -14
-26n = -22 + -14

Combine like terms: -22 + -14 = -36
-26n = -36

Divide each side by '-26'.
n = 1.384615385

Simplifying
n = 1.384615385

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