4-7(2n+1)=2(3-5n)

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Solution for 4-7(2n+1)=2(3-5n) equation:


Simplifying
4 + -7(2n + 1) = 2(3 + -5n)

Reorder the terms:
4 + -7(1 + 2n) = 2(3 + -5n)
4 + (1 * -7 + 2n * -7) = 2(3 + -5n)
4 + (-7 + -14n) = 2(3 + -5n)

Combine like terms: 4 + -7 = -3
-3 + -14n = 2(3 + -5n)
-3 + -14n = (3 * 2 + -5n * 2)
-3 + -14n = (6 + -10n)

Solving
-3 + -14n = 6 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
-3 + -14n + 10n = 6 + -10n + 10n

Combine like terms: -14n + 10n = -4n
-3 + -4n = 6 + -10n + 10n

Combine like terms: -10n + 10n = 0
-3 + -4n = 6 + 0
-3 + -4n = 6

Add '3' to each side of the equation.
-3 + 3 + -4n = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -4n = 6 + 3
-4n = 6 + 3

Combine like terms: 6 + 3 = 9
-4n = 9

Divide each side by '-4'.
n = -2.25

Simplifying
n = -2.25

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