4(6n+3)=-8n+5(1+5n)

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Solution for 4(6n+3)=-8n+5(1+5n) equation:


Simplifying
4(6n + 3) = -8n + 5(1 + 5n)

Reorder the terms:
4(3 + 6n) = -8n + 5(1 + 5n)
(3 * 4 + 6n * 4) = -8n + 5(1 + 5n)
(12 + 24n) = -8n + 5(1 + 5n)
12 + 24n = -8n + (1 * 5 + 5n * 5)
12 + 24n = -8n + (5 + 25n)

Reorder the terms:
12 + 24n = 5 + -8n + 25n

Combine like terms: -8n + 25n = 17n
12 + 24n = 5 + 17n

Solving
12 + 24n = 5 + 17n

Solving for variable 'n'.

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

Add '-17n' to each side of the equation.
12 + 24n + -17n = 5 + 17n + -17n

Combine like terms: 24n + -17n = 7n
12 + 7n = 5 + 17n + -17n

Combine like terms: 17n + -17n = 0
12 + 7n = 5 + 0
12 + 7n = 5

Add '-12' to each side of the equation.
12 + -12 + 7n = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 7n = 5 + -12
7n = 5 + -12

Combine like terms: 5 + -12 = -7
7n = -7

Divide each side by '7'.
n = -1

Simplifying
n = -1

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