100(3m+2)+m+4=1709

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Solution for 100(3m+2)+m+4=1709 equation:


Simplifying
100(3m + 2) + m + 4 = 1709

Reorder the terms:
100(2 + 3m) + m + 4 = 1709
(2 * 100 + 3m * 100) + m + 4 = 1709
(200 + 300m) + m + 4 = 1709

Reorder the terms:
200 + 4 + 300m + m = 1709

Combine like terms: 200 + 4 = 204
204 + 300m + m = 1709

Combine like terms: 300m + m = 301m
204 + 301m = 1709

Solving
204 + 301m = 1709

Solving for variable 'm'.

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

Add '-204' to each side of the equation.
204 + -204 + 301m = 1709 + -204

Combine like terms: 204 + -204 = 0
0 + 301m = 1709 + -204
301m = 1709 + -204

Combine like terms: 1709 + -204 = 1505
301m = 1505

Divide each side by '301'.
m = 5

Simplifying
m = 5

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