40(30-m)+25m=1020

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Solution for 40(30-m)+25m=1020 equation:


Simplifying
40(30 + -1m) + 25m = 1020
(30 * 40 + -1m * 40) + 25m = 1020
(1200 + -40m) + 25m = 1020

Combine like terms: -40m + 25m = -15m
1200 + -15m = 1020

Solving
1200 + -15m = 1020

Solving for variable 'm'.

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

Add '-1200' to each side of the equation.
1200 + -1200 + -15m = 1020 + -1200

Combine like terms: 1200 + -1200 = 0
0 + -15m = 1020 + -1200
-15m = 1020 + -1200

Combine like terms: 1020 + -1200 = -180
-15m = -180

Divide each side by '-15'.
m = 12

Simplifying
m = 12

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