2(1.5m)+3=2(n+2)-3n

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Solution for 2(1.5m)+3=2(n+2)-3n equation:


Simplifying
2(1.5m) + 3 = 2(n + 2) + -3n

Remove parenthesis around (1.5m)
2 * 1.5m + 3 = 2(n + 2) + -3n

Multiply 2 * 1.5
3m + 3 = 2(n + 2) + -3n

Reorder the terms:
3 + 3m = 2(n + 2) + -3n

Reorder the terms:
3 + 3m = 2(2 + n) + -3n
3 + 3m = (2 * 2 + n * 2) + -3n
3 + 3m = (4 + 2n) + -3n

Combine like terms: 2n + -3n = -1n
3 + 3m = 4 + -1n

Solving
3 + 3m = 4 + -1n

Solving for variable 'm'.

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

Add '-3' to each side of the equation.
3 + -3 + 3m = 4 + -3 + -1n

Combine like terms: 3 + -3 = 0
0 + 3m = 4 + -3 + -1n
3m = 4 + -3 + -1n

Combine like terms: 4 + -3 = 1
3m = 1 + -1n

Divide each side by '3'.
m = 0.3333333333 + -0.3333333333n

Simplifying
m = 0.3333333333 + -0.3333333333n

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