6(4w+1)=1.5(8w+18)

Solution for 6(4w+1)=1.5(8w+18) equation:

Simplifying
6(4w + 1) = 1.5(8w + 18)

Reorder the terms:
6(1 + 4w) = 1.5(8w + 18)
(1 * 6 + 4w * 6) = 1.5(8w + 18)
(6 + 24w) = 1.5(8w + 18)

Reorder the terms:
6 + 24w = 1.5(18 + 8w)
6 + 24w = (18 * 1.5 + 8w * 1.5)
6 + 24w = (27 + 12w)

Solving
6 + 24w = 27 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
6 + 24w + -12w = 27 + 12w + -12w

Combine like terms: 24w + -12w = 12w
6 + 12w = 27 + 12w + -12w

Combine like terms: 12w + -12w = 0
6 + 12w = 27 + 0
6 + 12w = 27

Add '-6' to each side of the equation.
6 + -6 + 12w = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 12w = 27 + -6
12w = 27 + -6

Combine like terms: 27 + -6 = 21
12w = 21

Divide each side by '12'.
w = 1.75

Simplifying
w = 1.75