5(n-3)=4(2n-7)-14

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Solution for 5(n-3)=4(2n-7)-14 equation:


Simplifying
5(n + -3) = 4(2n + -7) + -14

Reorder the terms:
5(-3 + n) = 4(2n + -7) + -14
(-3 * 5 + n * 5) = 4(2n + -7) + -14
(-15 + 5n) = 4(2n + -7) + -14

Reorder the terms:
-15 + 5n = 4(-7 + 2n) + -14
-15 + 5n = (-7 * 4 + 2n * 4) + -14
-15 + 5n = (-28 + 8n) + -14

Reorder the terms:
-15 + 5n = -28 + -14 + 8n

Combine like terms: -28 + -14 = -42
-15 + 5n = -42 + 8n

Solving
-15 + 5n = -42 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-15 + 5n + -8n = -42 + 8n + -8n

Combine like terms: 5n + -8n = -3n
-15 + -3n = -42 + 8n + -8n

Combine like terms: 8n + -8n = 0
-15 + -3n = -42 + 0
-15 + -3n = -42

Add '15' to each side of the equation.
-15 + 15 + -3n = -42 + 15

Combine like terms: -15 + 15 = 0
0 + -3n = -42 + 15
-3n = -42 + 15

Combine like terms: -42 + 15 = -27
-3n = -27

Divide each side by '-3'.
n = 9

Simplifying
n = 9

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