17-4m=3m+6(4m+8)

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Solution for 17-4m=3m+6(4m+8) equation:


Simplifying
17 + -4m = 3m + 6(4m + 8)

Reorder the terms:
17 + -4m = 3m + 6(8 + 4m)
17 + -4m = 3m + (8 * 6 + 4m * 6)
17 + -4m = 3m + (48 + 24m)

Reorder the terms:
17 + -4m = 48 + 3m + 24m

Combine like terms: 3m + 24m = 27m
17 + -4m = 48 + 27m

Solving
17 + -4m = 48 + 27m

Solving for variable 'm'.

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

Add '-27m' to each side of the equation.
17 + -4m + -27m = 48 + 27m + -27m

Combine like terms: -4m + -27m = -31m
17 + -31m = 48 + 27m + -27m

Combine like terms: 27m + -27m = 0
17 + -31m = 48 + 0
17 + -31m = 48

Add '-17' to each side of the equation.
17 + -17 + -31m = 48 + -17

Combine like terms: 17 + -17 = 0
0 + -31m = 48 + -17
-31m = 48 + -17

Combine like terms: 48 + -17 = 31
-31m = 31

Divide each side by '-31'.
m = -1

Simplifying
m = -1

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