.25(6n-3)=4n+1

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Solution for .25(6n-3)=4n+1 equation:


Simplifying
0.25(6n + -3) = 4n + 1

Reorder the terms:
0.25(-3 + 6n) = 4n + 1
(-3 * 0.25 + 6n * 0.25) = 4n + 1
(-0.75 + 1.5n) = 4n + 1

Reorder the terms:
-0.75 + 1.5n = 1 + 4n

Solving
-0.75 + 1.5n = 1 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-0.75 + 1.5n + -4n = 1 + 4n + -4n

Combine like terms: 1.5n + -4n = -2.5n
-0.75 + -2.5n = 1 + 4n + -4n

Combine like terms: 4n + -4n = 0
-0.75 + -2.5n = 1 + 0
-0.75 + -2.5n = 1

Add '0.75' to each side of the equation.
-0.75 + 0.75 + -2.5n = 1 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + -2.5n = 1 + 0.75
-2.5n = 1 + 0.75

Combine like terms: 1 + 0.75 = 1.75
-2.5n = 1.75

Divide each side by '-2.5'.
n = -0.7

Simplifying
n = -0.7

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