3(2l+2)+18=4(4l+3)-8

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Solution for 3(2l+2)+18=4(4l+3)-8 equation:


Simplifying
3(2l + 2) + 18 = 4(4l + 3) + -8

Reorder the terms:
3(2 + 2l) + 18 = 4(4l + 3) + -8
(2 * 3 + 2l * 3) + 18 = 4(4l + 3) + -8
(6 + 6l) + 18 = 4(4l + 3) + -8

Reorder the terms:
6 + 18 + 6l = 4(4l + 3) + -8

Combine like terms: 6 + 18 = 24
24 + 6l = 4(4l + 3) + -8

Reorder the terms:
24 + 6l = 4(3 + 4l) + -8
24 + 6l = (3 * 4 + 4l * 4) + -8
24 + 6l = (12 + 16l) + -8

Reorder the terms:
24 + 6l = 12 + -8 + 16l

Combine like terms: 12 + -8 = 4
24 + 6l = 4 + 16l

Solving
24 + 6l = 4 + 16l

Solving for variable 'l'.

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

Add '-16l' to each side of the equation.
24 + 6l + -16l = 4 + 16l + -16l

Combine like terms: 6l + -16l = -10l
24 + -10l = 4 + 16l + -16l

Combine like terms: 16l + -16l = 0
24 + -10l = 4 + 0
24 + -10l = 4

Add '-24' to each side of the equation.
24 + -24 + -10l = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -10l = 4 + -24
-10l = 4 + -24

Combine like terms: 4 + -24 = -20
-10l = -20

Divide each side by '-10'.
l = 2

Simplifying
l = 2

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