20(11+4n)+10(1-4n)=190

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Solution for 20(11+4n)+10(1-4n)=190 equation: 


Simplifying
20(11 + 4n) + 10(1 + -4n) = 190
(11 * 20 + 4n * 20) + 10(1 + -4n) = 190
(220 + 80n) + 10(1 + -4n) = 190
220 + 80n + (1 * 10 + -4n * 10) = 190
220 + 80n + (10 + -40n) = 190

Reorder the terms:
220 + 10 + 80n + -40n = 190

Combine like terms: 220 + 10 = 230
230 + 80n + -40n = 190

Combine like terms: 80n + -40n = 40n
230 + 40n = 190

Solving
230 + 40n = 190

Solving for variable 'n'.

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

Add '-230' to each side of the equation.
230 + -230 + 40n = 190 + -230

Combine like terms: 230 + -230 = 0
0 + 40n = 190 + -230
40n = 190 + -230

Combine like terms: 190 + -230 = -40
40n = -40

Divide each side by '40'.
n = -1

Simplifying
n = -1

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