6(m-27)-7(4m-30)=1

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Solution for 6(m-27)-7(4m-30)=1 equation:


Simplifying
6(m + -27) + -7(4m + -30) = 1

Reorder the terms:
6(-27 + m) + -7(4m + -30) = 1
(-27 * 6 + m * 6) + -7(4m + -30) = 1
(-162 + 6m) + -7(4m + -30) = 1

Reorder the terms:
-162 + 6m + -7(-30 + 4m) = 1
-162 + 6m + (-30 * -7 + 4m * -7) = 1
-162 + 6m + (210 + -28m) = 1

Reorder the terms:
-162 + 210 + 6m + -28m = 1

Combine like terms: -162 + 210 = 48
48 + 6m + -28m = 1

Combine like terms: 6m + -28m = -22m
48 + -22m = 1

Solving
48 + -22m = 1

Solving for variable 'm'.

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

Add '-48' to each side of the equation.
48 + -48 + -22m = 1 + -48

Combine like terms: 48 + -48 = 0
0 + -22m = 1 + -48
-22m = 1 + -48

Combine like terms: 1 + -48 = -47
-22m = -47

Divide each side by '-22'.
m = 2.136363636

Simplifying
m = 2.136363636

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