3M+101-4M-33=108-16M-100

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Solution for 3M+101-4M-33=108-16M-100 equation:


Simplifying
3M + 101 + -4M + -33 = 108 + -16M + -100

Reorder the terms:
101 + -33 + 3M + -4M = 108 + -16M + -100

Combine like terms: 101 + -33 = 68
68 + 3M + -4M = 108 + -16M + -100

Combine like terms: 3M + -4M = -1M
68 + -1M = 108 + -16M + -100

Reorder the terms:
68 + -1M = 108 + -100 + -16M

Combine like terms: 108 + -100 = 8
68 + -1M = 8 + -16M

Solving
68 + -1M = 8 + -16M

Solving for variable 'M'.

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

Add '16M' to each side of the equation.
68 + -1M + 16M = 8 + -16M + 16M

Combine like terms: -1M + 16M = 15M
68 + 15M = 8 + -16M + 16M

Combine like terms: -16M + 16M = 0
68 + 15M = 8 + 0
68 + 15M = 8

Add '-68' to each side of the equation.
68 + -68 + 15M = 8 + -68

Combine like terms: 68 + -68 = 0
0 + 15M = 8 + -68
15M = 8 + -68

Combine like terms: 8 + -68 = -60
15M = -60

Divide each side by '15'.
M = -4

Simplifying
M = -4

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