1000+25(n-12)=740+32(n-10)

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Solution for 1000+25(n-12)=740+32(n-10) equation:


Simplifying
1000 + 25(n + -12) = 740 + 32(n + -10)

Reorder the terms:
1000 + 25(-12 + n) = 740 + 32(n + -10)
1000 + (-12 * 25 + n * 25) = 740 + 32(n + -10)
1000 + (-300 + 25n) = 740 + 32(n + -10)

Combine like terms: 1000 + -300 = 700
700 + 25n = 740 + 32(n + -10)

Reorder the terms:
700 + 25n = 740 + 32(-10 + n)
700 + 25n = 740 + (-10 * 32 + n * 32)
700 + 25n = 740 + (-320 + 32n)

Combine like terms: 740 + -320 = 420
700 + 25n = 420 + 32n

Solving
700 + 25n = 420 + 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.
700 + 25n + -32n = 420 + 32n + -32n

Combine like terms: 25n + -32n = -7n
700 + -7n = 420 + 32n + -32n

Combine like terms: 32n + -32n = 0
700 + -7n = 420 + 0
700 + -7n = 420

Add '-700' to each side of the equation.
700 + -700 + -7n = 420 + -700

Combine like terms: 700 + -700 = 0
0 + -7n = 420 + -700
-7n = 420 + -700

Combine like terms: 420 + -700 = -280
-7n = -280

Divide each side by '-7'.
n = 40

Simplifying
n = 40

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