2(n-2)+7=3(n-1)

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Solution for 2(n-2)+7=3(n-1) equation:


Simplifying
2(n + -2) + 7 = 3(n + -1)

Reorder the terms:
2(-2 + n) + 7 = 3(n + -1)
(-2 * 2 + n * 2) + 7 = 3(n + -1)
(-4 + 2n) + 7 = 3(n + -1)

Reorder the terms:
-4 + 7 + 2n = 3(n + -1)

Combine like terms: -4 + 7 = 3
3 + 2n = 3(n + -1)

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

Solving
3 + 2n = -3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
3 + 2n + -3n = -3 + 3n + -3n

Combine like terms: 2n + -3n = -1n
3 + -1n = -3 + 3n + -3n

Combine like terms: 3n + -3n = 0
3 + -1n = -3 + 0
3 + -1n = -3

Add '-3' to each side of the equation.
3 + -3 + -1n = -3 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = -3 + -3
-1n = -3 + -3

Combine like terms: -3 + -3 = -6
-1n = -6

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

Simplifying
n = 6

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