4(6m+7)=5(4m+6)+m-3

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Solution for 4(6m+7)=5(4m+6)+m-3 equation:


Simplifying
4(6m + 7) = 5(4m + 6) + m + -3

Reorder the terms:
4(7 + 6m) = 5(4m + 6) + m + -3
(7 * 4 + 6m * 4) = 5(4m + 6) + m + -3
(28 + 24m) = 5(4m + 6) + m + -3

Reorder the terms:
28 + 24m = 5(6 + 4m) + m + -3
28 + 24m = (6 * 5 + 4m * 5) + m + -3
28 + 24m = (30 + 20m) + m + -3

Reorder the terms:
28 + 24m = 30 + -3 + 20m + m

Combine like terms: 30 + -3 = 27
28 + 24m = 27 + 20m + m

Combine like terms: 20m + m = 21m
28 + 24m = 27 + 21m

Solving
28 + 24m = 27 + 21m

Solving for variable 'm'.

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

Add '-21m' to each side of the equation.
28 + 24m + -21m = 27 + 21m + -21m

Combine like terms: 24m + -21m = 3m
28 + 3m = 27 + 21m + -21m

Combine like terms: 21m + -21m = 0
28 + 3m = 27 + 0
28 + 3m = 27

Add '-28' to each side of the equation.
28 + -28 + 3m = 27 + -28

Combine like terms: 28 + -28 = 0
0 + 3m = 27 + -28
3m = 27 + -28

Combine like terms: 27 + -28 = -1
3m = -1

Divide each side by '3'.
m = -0.3333333333

Simplifying
m = -0.3333333333

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