3(2M-1)+1=7M-7

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Solution for 3(2M-1)+1=7M-7 equation:


Simplifying
3(2M + -1) + 1 = 7M + -7

Reorder the terms:
3(-1 + 2M) + 1 = 7M + -7
(-1 * 3 + 2M * 3) + 1 = 7M + -7
(-3 + 6M) + 1 = 7M + -7

Reorder the terms:
-3 + 1 + 6M = 7M + -7

Combine like terms: -3 + 1 = -2
-2 + 6M = 7M + -7

Reorder the terms:
-2 + 6M = -7 + 7M

Solving
-2 + 6M = -7 + 7M

Solving for variable 'M'.

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

Add '-7M' to each side of the equation.
-2 + 6M + -7M = -7 + 7M + -7M

Combine like terms: 6M + -7M = -1M
-2 + -1M = -7 + 7M + -7M

Combine like terms: 7M + -7M = 0
-2 + -1M = -7 + 0
-2 + -1M = -7

Add '2' to each side of the equation.
-2 + 2 + -1M = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -1M = -7 + 2
-1M = -7 + 2

Combine like terms: -7 + 2 = -5
-1M = -5

Divide each side by '-1'.
M = 5

Simplifying
M = 5

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