7(3n-6)+8(n-7)=47

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Solution for 7(3n-6)+8(n-7)=47 equation:


Simplifying
7(3n + -6) + 8(n + -7) = 47

Reorder the terms:
7(-6 + 3n) + 8(n + -7) = 47
(-6 * 7 + 3n * 7) + 8(n + -7) = 47
(-42 + 21n) + 8(n + -7) = 47

Reorder the terms:
-42 + 21n + 8(-7 + n) = 47
-42 + 21n + (-7 * 8 + n * 8) = 47
-42 + 21n + (-56 + 8n) = 47

Reorder the terms:
-42 + -56 + 21n + 8n = 47

Combine like terms: -42 + -56 = -98
-98 + 21n + 8n = 47

Combine like terms: 21n + 8n = 29n
-98 + 29n = 47

Solving
-98 + 29n = 47

Solving for variable 'n'.

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

Add '98' to each side of the equation.
-98 + 98 + 29n = 47 + 98

Combine like terms: -98 + 98 = 0
0 + 29n = 47 + 98
29n = 47 + 98

Combine like terms: 47 + 98 = 145
29n = 145

Divide each side by '29'.
n = 5

Simplifying
n = 5

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