-5(2m+5)+7=4(1-2m)

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Solution for -5(2m+5)+7=4(1-2m) equation:


Simplifying
-5(2m + 5) + 7 = 4(1 + -2m)

Reorder the terms:
-5(5 + 2m) + 7 = 4(1 + -2m)
(5 * -5 + 2m * -5) + 7 = 4(1 + -2m)
(-25 + -10m) + 7 = 4(1 + -2m)

Reorder the terms:
-25 + 7 + -10m = 4(1 + -2m)

Combine like terms: -25 + 7 = -18
-18 + -10m = 4(1 + -2m)
-18 + -10m = (1 * 4 + -2m * 4)
-18 + -10m = (4 + -8m)

Solving
-18 + -10m = 4 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
-18 + -10m + 8m = 4 + -8m + 8m

Combine like terms: -10m + 8m = -2m
-18 + -2m = 4 + -8m + 8m

Combine like terms: -8m + 8m = 0
-18 + -2m = 4 + 0
-18 + -2m = 4

Add '18' to each side of the equation.
-18 + 18 + -2m = 4 + 18

Combine like terms: -18 + 18 = 0
0 + -2m = 4 + 18
-2m = 4 + 18

Combine like terms: 4 + 18 = 22
-2m = 22

Divide each side by '-2'.
m = -11

Simplifying
m = -11

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