237=4(7n+4)-3

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Solution for 237=4(7n+4)-3 equation:


Simplifying
237 = 4(7n + 4) + -3

Reorder the terms:
237 = 4(4 + 7n) + -3
237 = (4 * 4 + 7n * 4) + -3
237 = (16 + 28n) + -3

Reorder the terms:
237 = 16 + -3 + 28n

Combine like terms: 16 + -3 = 13
237 = 13 + 28n

Solving
237 = 13 + 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.
237 + -28n = 13 + 28n + -28n

Combine like terms: 28n + -28n = 0
237 + -28n = 13 + 0
237 + -28n = 13

Add '-237' to each side of the equation.
237 + -237 + -28n = 13 + -237

Combine like terms: 237 + -237 = 0
0 + -28n = 13 + -237
-28n = 13 + -237

Combine like terms: 13 + -237 = -224
-28n = -224

Divide each side by '-28'.
n = 8

Simplifying
n = 8

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