16(n+8)=3(40+5n)

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Solution for 16(n+8)=3(40+5n) equation:


Simplifying
16(n + 8) = 3(40 + 5n)

Reorder the terms:
16(8 + n) = 3(40 + 5n)
(8 * 16 + n * 16) = 3(40 + 5n)
(128 + 16n) = 3(40 + 5n)
128 + 16n = (40 * 3 + 5n * 3)
128 + 16n = (120 + 15n)

Solving
128 + 16n = 120 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
128 + 16n + -15n = 120 + 15n + -15n

Combine like terms: 16n + -15n = 1n
128 + 1n = 120 + 15n + -15n

Combine like terms: 15n + -15n = 0
128 + 1n = 120 + 0
128 + 1n = 120

Add '-128' to each side of the equation.
128 + -128 + 1n = 120 + -128

Combine like terms: 128 + -128 = 0
0 + 1n = 120 + -128
1n = 120 + -128

Combine like terms: 120 + -128 = -8
1n = -8

Divide each side by '1'.
n = -8

Simplifying
n = -8

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