-10n+3(8+8n)=-7(-6+8n)+3

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Solution for -10n+3(8+8n)=-7(-6+8n)+3 equation:


Simplifying
-10n + 3(8 + 8n) = -7(-6 + 8n) + 3
-10n + (8 * 3 + 8n * 3) = -7(-6 + 8n) + 3
-10n + (24 + 24n) = -7(-6 + 8n) + 3

Reorder the terms:
24 + -10n + 24n = -7(-6 + 8n) + 3

Combine like terms: -10n + 24n = 14n
24 + 14n = -7(-6 + 8n) + 3
24 + 14n = (-6 * -7 + 8n * -7) + 3
24 + 14n = (42 + -56n) + 3

Reorder the terms:
24 + 14n = 42 + 3 + -56n

Combine like terms: 42 + 3 = 45
24 + 14n = 45 + -56n

Solving
24 + 14n = 45 + -56n

Solving for variable 'n'.

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

Add '56n' to each side of the equation.
24 + 14n + 56n = 45 + -56n + 56n

Combine like terms: 14n + 56n = 70n
24 + 70n = 45 + -56n + 56n

Combine like terms: -56n + 56n = 0
24 + 70n = 45 + 0
24 + 70n = 45

Add '-24' to each side of the equation.
24 + -24 + 70n = 45 + -24

Combine like terms: 24 + -24 = 0
0 + 70n = 45 + -24
70n = 45 + -24

Combine like terms: 45 + -24 = 21
70n = 21

Divide each side by '70'.
n = 0.3

Simplifying
n = 0.3

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