-235.782=-5.3m-5.1(7.8m-1.5)

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Solution for -235.782=-5.3m-5.1(7.8m-1.5) equation:


Simplifying
-235.782 = -5.3m + -5.1(7.8m + -1.5)

Reorder the terms:
-235.782 = -5.3m + -5.1(-1.5 + 7.8m)
-235.782 = -5.3m + (-1.5 * -5.1 + 7.8m * -5.1)
-235.782 = -5.3m + (7.65 + -39.78m)

Reorder the terms:
-235.782 = 7.65 + -5.3m + -39.78m

Combine like terms: -5.3m + -39.78m = -45.08m
-235.782 = 7.65 + -45.08m

Solving
-235.782 = 7.65 + -45.08m

Solving for variable 'm'.

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

Add '45.08m' to each side of the equation.
-235.782 + 45.08m = 7.65 + -45.08m + 45.08m

Combine like terms: -45.08m + 45.08m = 0.00
-235.782 + 45.08m = 7.65 + 0.00
-235.782 + 45.08m = 7.65

Add '235.782' to each side of the equation.
-235.782 + 235.782 + 45.08m = 7.65 + 235.782

Combine like terms: -235.782 + 235.782 = 0.000
0.000 + 45.08m = 7.65 + 235.782
45.08m = 7.65 + 235.782

Combine like terms: 7.65 + 235.782 = 243.432
45.08m = 243.432

Divide each side by '45.08'.
m = 5.4

Simplifying
m = 5.4

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