32=7(n+7)+5(5n+3)

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Solution for 32=7(n+7)+5(5n+3) equation:


Simplifying
32 = 7(n + 7) + 5(5n + 3)

Reorder the terms:
32 = 7(7 + n) + 5(5n + 3)
32 = (7 * 7 + n * 7) + 5(5n + 3)
32 = (49 + 7n) + 5(5n + 3)

Reorder the terms:
32 = 49 + 7n + 5(3 + 5n)
32 = 49 + 7n + (3 * 5 + 5n * 5)
32 = 49 + 7n + (15 + 25n)

Reorder the terms:
32 = 49 + 15 + 7n + 25n

Combine like terms: 49 + 15 = 64
32 = 64 + 7n + 25n

Combine like terms: 7n + 25n = 32n
32 = 64 + 32n

Solving
32 = 64 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
32 + -32n = 64 + 32n + -32n

Combine like terms: 32n + -32n = 0
32 + -32n = 64 + 0
32 + -32n = 64

Add '-32' to each side of the equation.
32 + -32 + -32n = 64 + -32

Combine like terms: 32 + -32 = 0
0 + -32n = 64 + -32
-32n = 64 + -32

Combine like terms: 64 + -32 = 32
-32n = 32

Divide each side by '-32'.
n = -1

Simplifying
n = -1

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