2(1.5n+4)-6n=-7

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Solution for 2(1.5n+4)-6n=-7 equation:


Simplifying
2(1.5n + 4) + -6n = -7

Reorder the terms:
2(4 + 1.5n) + -6n = -7
(4 * 2 + 1.5n * 2) + -6n = -7
(8 + 3n) + -6n = -7

Combine like terms: 3n + -6n = -3n
8 + -3n = -7

Solving
8 + -3n = -7

Solving for variable 'n'.

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

Add '-8' to each side of the equation.
8 + -8 + -3n = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3n = -7 + -8
-3n = -7 + -8

Combine like terms: -7 + -8 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5

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