3(5-n)+21(m-2)=11-4(17-m)

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Solution for 3(5-n)+21(m-2)=11-4(17-m) equation:


Simplifying
3(5 + -1n) + 21(m + -2) = 11 + -4(17 + -1m)
(5 * 3 + -1n * 3) + 21(m + -2) = 11 + -4(17 + -1m)
(15 + -3n) + 21(m + -2) = 11 + -4(17 + -1m)

Reorder the terms:
15 + -3n + 21(-2 + m) = 11 + -4(17 + -1m)
15 + -3n + (-2 * 21 + m * 21) = 11 + -4(17 + -1m)
15 + -3n + (-42 + 21m) = 11 + -4(17 + -1m)

Reorder the terms:
15 + -42 + 21m + -3n = 11 + -4(17 + -1m)

Combine like terms: 15 + -42 = -27
-27 + 21m + -3n = 11 + -4(17 + -1m)
-27 + 21m + -3n = 11 + (17 * -4 + -1m * -4)
-27 + 21m + -3n = 11 + (-68 + 4m)

Combine like terms: 11 + -68 = -57
-27 + 21m + -3n = -57 + 4m

Solving
-27 + 21m + -3n = -57 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-27 + 21m + -4m + -3n = -57 + 4m + -4m

Combine like terms: 21m + -4m = 17m
-27 + 17m + -3n = -57 + 4m + -4m

Combine like terms: 4m + -4m = 0
-27 + 17m + -3n = -57 + 0
-27 + 17m + -3n = -57

Add '27' to each side of the equation.
-27 + 17m + 27 + -3n = -57 + 27

Reorder the terms:
-27 + 27 + 17m + -3n = -57 + 27

Combine like terms: -27 + 27 = 0
0 + 17m + -3n = -57 + 27
17m + -3n = -57 + 27

Combine like terms: -57 + 27 = -30
17m + -3n = -30

Add '3n' to each side of the equation.
17m + -3n + 3n = -30 + 3n

Combine like terms: -3n + 3n = 0
17m + 0 = -30 + 3n
17m = -30 + 3n

Divide each side by '17'.
m = -1.764705882 + 0.1764705882n

Simplifying
m = -1.764705882 + 0.1764705882n

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