-37=4(7n+6)-5

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Solution for -37=4(7n+6)-5 equation:


Simplifying
-37 = 4(7n + 6) + -5

Reorder the terms:
-37 = 4(6 + 7n) + -5
-37 = (6 * 4 + 7n * 4) + -5
-37 = (24 + 28n) + -5

Reorder the terms:
-37 = 24 + -5 + 28n

Combine like terms: 24 + -5 = 19
-37 = 19 + 28n

Solving
-37 = 19 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
-37 + -28n = 19 + 28n + -28n

Combine like terms: 28n + -28n = 0
-37 + -28n = 19 + 0
-37 + -28n = 19

Add '37' to each side of the equation.
-37 + 37 + -28n = 19 + 37

Combine like terms: -37 + 37 = 0
0 + -28n = 19 + 37
-28n = 19 + 37

Combine like terms: 19 + 37 = 56
-28n = 56

Divide each side by '-28'.
n = -2

Simplifying
n = -2

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