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zayboogey04

02.03.2023

Mathematics

Question:-

which value of the variable m satisfies the equation 20 = -2(4m - 5)

__________________-Distribute

20 = -2(4m - 5)

20 = -8m + 10

____Subtract 10 from both sides of the equation.

20 = -8m + 10

20 - 10 = -8m + 10 - 10

____Simplify

20 - 10 = -8m + 10 - 10

10 = -8m + 10 - 10

Simplify

10 = -8m + 10 - 10

10 = -8m

____Divide both sides of the equation from the same term

10 = -8m

$\frac{10}{ - 8} = \frac{ - 8m}{ - 8}$

____Divide

$\frac{10}{ - 8} = \frac{ - 8m}{ - 8}$

$\frac{ - 5}{4} = \frac{ - 8m}{ - 8}$

(Cancel -8, In the numerator and the denominator)

$\frac{ - 5}{4} = m$

__________________Final -

$m = \frac{ - 5}{4}$

_______In decimal form,

m = -1.25

__________________

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