4(m-1)-5m=-6(4m-7)

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Solution for 4(m-1)-5m=-6(4m-7) equation:


Simplifying
4(m + -1) + -5m = -6(4m + -7)

Reorder the terms:
4(-1 + m) + -5m = -6(4m + -7)
(-1 * 4 + m * 4) + -5m = -6(4m + -7)
(-4 + 4m) + -5m = -6(4m + -7)

Combine like terms: 4m + -5m = -1m
-4 + -1m = -6(4m + -7)

Reorder the terms:
-4 + -1m = -6(-7 + 4m)
-4 + -1m = (-7 * -6 + 4m * -6)
-4 + -1m = (42 + -24m)

Solving
-4 + -1m = 42 + -24m

Solving for variable 'm'.

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

Add '24m' to each side of the equation.
-4 + -1m + 24m = 42 + -24m + 24m

Combine like terms: -1m + 24m = 23m
-4 + 23m = 42 + -24m + 24m

Combine like terms: -24m + 24m = 0
-4 + 23m = 42 + 0
-4 + 23m = 42

Add '4' to each side of the equation.
-4 + 4 + 23m = 42 + 4

Combine like terms: -4 + 4 = 0
0 + 23m = 42 + 4
23m = 42 + 4

Combine like terms: 42 + 4 = 46
23m = 46

Divide each side by '23'.
m = 2

Simplifying
m = 2

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