497+(m+13)+(m-9)+m=900

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Solution for 497+(m+13)+(m-9)+m=900 equation:


Simplifying
497 + (m + 13) + (m + -9) + m = 900

Reorder the terms:
497 + (13 + m) + (m + -9) + m = 900

Remove parenthesis around (13 + m)
497 + 13 + m + (m + -9) + m = 900

Reorder the terms:
497 + 13 + m + (-9 + m) + m = 900

Remove parenthesis around (-9 + m)
497 + 13 + m + -9 + m + m = 900

Reorder the terms:
497 + 13 + -9 + m + m + m = 900

Combine like terms: 497 + 13 = 510
510 + -9 + m + m + m = 900

Combine like terms: 510 + -9 = 501
501 + m + m + m = 900

Combine like terms: m + m = 2m
501 + 2m + m = 900

Combine like terms: 2m + m = 3m
501 + 3m = 900

Solving
501 + 3m = 900

Solving for variable 'm'.

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

Add '-501' to each side of the equation.
501 + -501 + 3m = 900 + -501

Combine like terms: 501 + -501 = 0
0 + 3m = 900 + -501
3m = 900 + -501

Combine like terms: 900 + -501 = 399
3m = 399

Divide each side by '3'.
m = 133

Simplifying
m = 133

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