47-10m=-3-5(7m-5)

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Solution for 47-10m=-3-5(7m-5) equation:


Simplifying
47 + -10m = -3 + -5(7m + -5)

Reorder the terms:
47 + -10m = -3 + -5(-5 + 7m)
47 + -10m = -3 + (-5 * -5 + 7m * -5)
47 + -10m = -3 + (25 + -35m)

Combine like terms: -3 + 25 = 22
47 + -10m = 22 + -35m

Solving
47 + -10m = 22 + -35m

Solving for variable 'm'.

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

Add '35m' to each side of the equation.
47 + -10m + 35m = 22 + -35m + 35m

Combine like terms: -10m + 35m = 25m
47 + 25m = 22 + -35m + 35m

Combine like terms: -35m + 35m = 0
47 + 25m = 22 + 0
47 + 25m = 22

Add '-47' to each side of the equation.
47 + -47 + 25m = 22 + -47

Combine like terms: 47 + -47 = 0
0 + 25m = 22 + -47
25m = 22 + -47

Combine like terms: 22 + -47 = -25
25m = -25

Divide each side by '25'.
m = -1

Simplifying
m = -1

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