4.5-1.5[6m+2]=6

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Solution for 4.5-1.5[6m+2]=6 equation:


Simplifying
4.5 + -1.5[6m + 2] = 6

Reorder the terms:
4.5 + -1.5[2 + 6m] = 6
4.5 + [2 * -1.5 + 6m * -1.5] = 6
4.5 + [-3 + -9m] = 6

Combine like terms: 4.5 + -3 = 1.5
1.5 + -9m = 6

Solving
1.5 + -9m = 6

Solving for variable 'm'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -9m = 6 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -9m = 6 + -1.5
-9m = 6 + -1.5

Combine like terms: 6 + -1.5 = 4.5
-9m = 4.5

Divide each side by '-9'.
m = -0.5

Simplifying
m = -0.5

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