0.05(.3m+35n)-.8(-.09n-22)=

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Solution for 0.05(.3m+35n)-.8(-.09n-22)= equation:


Simplifying
0.05(0.3m + 35n) + -0.8(-0.09n + -22) = 0
(0.3m * 0.05 + 35n * 0.05) + -0.8(-0.09n + -22) = 0
(0.015m + 1.75n) + -0.8(-0.09n + -22) = 0

Reorder the terms:
0.015m + 1.75n + -0.8(-22 + -0.09n) = 0
0.015m + 1.75n + (-22 * -0.8 + -0.09n * -0.8) = 0
0.015m + 1.75n + (17.6 + 0.072n) = 0

Reorder the terms:
17.6 + 0.015m + 1.75n + 0.072n = 0

Combine like terms: 1.75n + 0.072n = 1.822n
17.6 + 0.015m + 1.822n = 0

Solving
17.6 + 0.015m + 1.822n = 0

Solving for variable 'm'.

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

Add '-17.6' to each side of the equation.
17.6 + 0.015m + -17.6 + 1.822n = 0 + -17.6

Reorder the terms:
17.6 + -17.6 + 0.015m + 1.822n = 0 + -17.6

Combine like terms: 17.6 + -17.6 = 0.0
0.0 + 0.015m + 1.822n = 0 + -17.6
0.015m + 1.822n = 0 + -17.6

Combine like terms: 0 + -17.6 = -17.6
0.015m + 1.822n = -17.6

Add '-1.822n' to each side of the equation.
0.015m + 1.822n + -1.822n = -17.6 + -1.822n

Combine like terms: 1.822n + -1.822n = 0.000
0.015m + 0.000 = -17.6 + -1.822n
0.015m = -17.6 + -1.822n

Divide each side by '0.015'.
m = -1173.333333 + -121.4666667n

Simplifying
m = -1173.333333 + -121.4666667n

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