2(3n-5)+4=15-(9n-4)

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Solution for 2(3n-5)+4=15-(9n-4) equation:


Simplifying
2(3n + -5) + 4 = 15 + -1(9n + -4)

Reorder the terms:
2(-5 + 3n) + 4 = 15 + -1(9n + -4)
(-5 * 2 + 3n * 2) + 4 = 15 + -1(9n + -4)
(-10 + 6n) + 4 = 15 + -1(9n + -4)

Reorder the terms:
-10 + 4 + 6n = 15 + -1(9n + -4)

Combine like terms: -10 + 4 = -6
-6 + 6n = 15 + -1(9n + -4)

Reorder the terms:
-6 + 6n = 15 + -1(-4 + 9n)
-6 + 6n = 15 + (-4 * -1 + 9n * -1)
-6 + 6n = 15 + (4 + -9n)

Combine like terms: 15 + 4 = 19
-6 + 6n = 19 + -9n

Solving
-6 + 6n = 19 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
-6 + 6n + 9n = 19 + -9n + 9n

Combine like terms: 6n + 9n = 15n
-6 + 15n = 19 + -9n + 9n

Combine like terms: -9n + 9n = 0
-6 + 15n = 19 + 0
-6 + 15n = 19

Add '6' to each side of the equation.
-6 + 6 + 15n = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 15n = 19 + 6
15n = 19 + 6

Combine like terms: 19 + 6 = 25
15n = 25

Divide each side by '15'.
n = 1.666666667

Simplifying
n = 1.666666667

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