0.7(n-15)=1.2(n-9)

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Solution for 0.7(n-15)=1.2(n-9) equation: 


Simplifying
0.7(n + -15) = 1.2(n + -9)

Reorder the terms:
0.7(-15 + n) = 1.2(n + -9)
(-15 * 0.7 + n * 0.7) = 1.2(n + -9)
(-10.5 + 0.7n) = 1.2(n + -9)

Reorder the terms:
-10.5 + 0.7n = 1.2(-9 + n)
-10.5 + 0.7n = (-9 * 1.2 + n * 1.2)
-10.5 + 0.7n = (-10.8 + 1.2n)

Solving
-10.5 + 0.7n = -10.8 + 1.2n

Solving for variable 'n'.

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

Add '-1.2n' to each side of the equation.
-10.5 + 0.7n + -1.2n = -10.8 + 1.2n + -1.2n

Combine like terms: 0.7n + -1.2n = -0.5n
-10.5 + -0.5n = -10.8 + 1.2n + -1.2n

Combine like terms: 1.2n + -1.2n = 0.0
-10.5 + -0.5n = -10.8 + 0.0
-10.5 + -0.5n = -10.8

Add '10.5' to each side of the equation.
-10.5 + 10.5 + -0.5n = -10.8 + 10.5

Combine like terms: -10.5 + 10.5 = 0.0
0.0 + -0.5n = -10.8 + 10.5
-0.5n = -10.8 + 10.5

Combine like terms: -10.8 + 10.5 = -0.3
-0.5n = -0.3

Divide each side by '-0.5'.
n = 0.6

Simplifying
n = 0.6

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