2(n+1)-3=4(2n+1)-11

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Solution for 2(n+1)-3=4(2n+1)-11 equation:


Simplifying
2(n + 1) + -3 = 4(2n + 1) + -11

Reorder the terms:
2(1 + n) + -3 = 4(2n + 1) + -11
(1 * 2 + n * 2) + -3 = 4(2n + 1) + -11
(2 + 2n) + -3 = 4(2n + 1) + -11

Reorder the terms:
2 + -3 + 2n = 4(2n + 1) + -11

Combine like terms: 2 + -3 = -1
-1 + 2n = 4(2n + 1) + -11

Reorder the terms:
-1 + 2n = 4(1 + 2n) + -11
-1 + 2n = (1 * 4 + 2n * 4) + -11
-1 + 2n = (4 + 8n) + -11

Reorder the terms:
-1 + 2n = 4 + -11 + 8n

Combine like terms: 4 + -11 = -7
-1 + 2n = -7 + 8n

Solving
-1 + 2n = -7 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-1 + 2n + -8n = -7 + 8n + -8n

Combine like terms: 2n + -8n = -6n
-1 + -6n = -7 + 8n + -8n

Combine like terms: 8n + -8n = 0
-1 + -6n = -7 + 0
-1 + -6n = -7

Add '1' to each side of the equation.
-1 + 1 + -6n = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -6n = -7 + 1
-6n = -7 + 1

Combine like terms: -7 + 1 = -6
-6n = -6

Divide each side by '-6'.
n = 1

Simplifying
n = 1

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