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

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


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

Multiply -3 * 5
2n + -15 = 7(n + -2)

Reorder the terms:
-15 + 2n = 7(n + -2)

Reorder the terms:
-15 + 2n = 7(-2 + n)
-15 + 2n = (-2 * 7 + n * 7)
-15 + 2n = (-14 + 7n)

Solving
-15 + 2n = -14 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-15 + 2n + -7n = -14 + 7n + -7n

Combine like terms: 2n + -7n = -5n
-15 + -5n = -14 + 7n + -7n

Combine like terms: 7n + -7n = 0
-15 + -5n = -14 + 0
-15 + -5n = -14

Add '15' to each side of the equation.
-15 + 15 + -5n = -14 + 15

Combine like terms: -15 + 15 = 0
0 + -5n = -14 + 15
-5n = -14 + 15

Combine like terms: -14 + 15 = 1
-5n = 1

Divide each side by '-5'.
n = -0.2

Simplifying
n = -0.2

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