-16+5n=-7(-6+8n+n)+3

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Solution for -16+5n=-7(-6+8n+n)+3 equation:


Simplifying
-16 + 5n = -7(-6 + 8n + n) + 3

Combine like terms: 8n + n = 9n
-16 + 5n = -7(-6 + 9n) + 3
-16 + 5n = (-6 * -7 + 9n * -7) + 3
-16 + 5n = (42 + -63n) + 3

Reorder the terms:
-16 + 5n = 42 + 3 + -63n

Combine like terms: 42 + 3 = 45
-16 + 5n = 45 + -63n

Solving
-16 + 5n = 45 + -63n

Solving for variable 'n'.

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

Add '63n' to each side of the equation.
-16 + 5n + 63n = 45 + -63n + 63n

Combine like terms: 5n + 63n = 68n
-16 + 68n = 45 + -63n + 63n

Combine like terms: -63n + 63n = 0
-16 + 68n = 45 + 0
-16 + 68n = 45

Add '16' to each side of the equation.
-16 + 16 + 68n = 45 + 16

Combine like terms: -16 + 16 = 0
0 + 68n = 45 + 16
68n = 45 + 16

Combine like terms: 45 + 16 = 61
68n = 61

Divide each side by '68'.
n = 0.8970588235

Simplifying
n = 0.8970588235

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