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

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


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

Reorder the terms:
217 = -8m + -3(3 + 7m)
217 = -8m + (3 * -3 + 7m * -3)
217 = -8m + (-9 + -21m)

Reorder the terms:
217 = -9 + -8m + -21m

Combine like terms: -8m + -21m = -29m
217 = -9 + -29m

Solving
217 = -9 + -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 = -9 + -29m + 29m

Combine like terms: -29m + 29m = 0
217 + 29m = -9 + 0
217 + 29m = -9

Add '-217' to each side of the equation.
217 + -217 + 29m = -9 + -217

Combine like terms: 217 + -217 = 0
0 + 29m = -9 + -217
29m = -9 + -217

Combine like terms: -9 + -217 = -226
29m = -226

Divide each side by '29'.
m = -7.793103448

Simplifying
m = -7.793103448

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