10n+6(4n+20)=-15+19n

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Solution for 10n+6(4n+20)=-15+19n equation:


Simplifying
10n + 6(4n + 20) = -15 + 19n

Reorder the terms:
10n + 6(20 + 4n) = -15 + 19n
10n + (20 * 6 + 4n * 6) = -15 + 19n
10n + (120 + 24n) = -15 + 19n

Reorder the terms:
120 + 10n + 24n = -15 + 19n

Combine like terms: 10n + 24n = 34n
120 + 34n = -15 + 19n

Solving
120 + 34n = -15 + 19n

Solving for variable 'n'.

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

Add '-19n' to each side of the equation.
120 + 34n + -19n = -15 + 19n + -19n

Combine like terms: 34n + -19n = 15n
120 + 15n = -15 + 19n + -19n

Combine like terms: 19n + -19n = 0
120 + 15n = -15 + 0
120 + 15n = -15

Add '-120' to each side of the equation.
120 + -120 + 15n = -15 + -120

Combine like terms: 120 + -120 = 0
0 + 15n = -15 + -120
15n = -15 + -120

Combine like terms: -15 + -120 = -135
15n = -135

Divide each side by '15'.
n = -9

Simplifying
n = -9

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