5.2=1.4(n-3)-6

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Solution for 5.2=1.4(n-3)-6 equation:


Simplifying
5.2 = 1.4(n + -3) + -6

Reorder the terms:
5.2 = 1.4(-3 + n) + -6
5.2 = (-3 * 1.4 + n * 1.4) + -6
5.2 = (-4.2 + 1.4n) + -6

Reorder the terms:
5.2 = -4.2 + -6 + 1.4n

Combine like terms: -4.2 + -6 = -10.2
5.2 = -10.2 + 1.4n

Solving
5.2 = -10.2 + 1.4n

Solving for variable 'n'.

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

Add '-1.4n' to each side of the equation.
5.2 + -1.4n = -10.2 + 1.4n + -1.4n

Combine like terms: 1.4n + -1.4n = 0.0
5.2 + -1.4n = -10.2 + 0.0
5.2 + -1.4n = -10.2

Add '-5.2' to each side of the equation.
5.2 + -5.2 + -1.4n = -10.2 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + -1.4n = -10.2 + -5.2
-1.4n = -10.2 + -5.2

Combine like terms: -10.2 + -5.2 = -15.4
-1.4n = -15.4

Divide each side by '-1.4'.
n = 11

Simplifying
n = 11

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