217=-8m-3(7m+5)

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Solution for 217=-8m-3(7m+5) equation:


Simplifying
217 = -8m + -3(7m + 5)

Reorder the terms:
217 = -8m + -3(5 + 7m)
217 = -8m + (5 * -3 + 7m * -3)
217 = -8m + (-15 + -21m)

Reorder the terms:
217 = -15 + -8m + -21m

Combine like terms: -8m + -21m = -29m
217 = -15 + -29m

Solving
217 = -15 + -29m

Solving for variable 'm'.

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

Add '29m' to each side of the equation.
217 + 29m = -15 + -29m + 29m

Combine like terms: -29m + 29m = 0
217 + 29m = -15 + 0
217 + 29m = -15

Add '-217' to each side of the equation.
217 + -217 + 29m = -15 + -217

Combine like terms: 217 + -217 = 0
0 + 29m = -15 + -217
29m = -15 + -217

Combine like terms: -15 + -217 = -232
29m = -232

Divide each side by '29'.
m = -8

Simplifying
m = -8

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