30-2(l-5)-8l=6(l-7)+24

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Solution for 30-2(l-5)-8l=6(l-7)+24 equation:


Simplifying
30 + -2(l + -5) + -8l = 6(l + -7) + 24

Reorder the terms:
30 + -2(-5 + l) + -8l = 6(l + -7) + 24
30 + (-5 * -2 + l * -2) + -8l = 6(l + -7) + 24
30 + (10 + -2l) + -8l = 6(l + -7) + 24

Combine like terms: 30 + 10 = 40
40 + -2l + -8l = 6(l + -7) + 24

Combine like terms: -2l + -8l = -10l
40 + -10l = 6(l + -7) + 24

Reorder the terms:
40 + -10l = 6(-7 + l) + 24
40 + -10l = (-7 * 6 + l * 6) + 24
40 + -10l = (-42 + 6l) + 24

Reorder the terms:
40 + -10l = -42 + 24 + 6l

Combine like terms: -42 + 24 = -18
40 + -10l = -18 + 6l

Solving
40 + -10l = -18 + 6l

Solving for variable 'l'.

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

Add '-6l' to each side of the equation.
40 + -10l + -6l = -18 + 6l + -6l

Combine like terms: -10l + -6l = -16l
40 + -16l = -18 + 6l + -6l

Combine like terms: 6l + -6l = 0
40 + -16l = -18 + 0
40 + -16l = -18

Add '-40' to each side of the equation.
40 + -40 + -16l = -18 + -40

Combine like terms: 40 + -40 = 0
0 + -16l = -18 + -40
-16l = -18 + -40

Combine like terms: -18 + -40 = -58
-16l = -58

Divide each side by '-16'.
l = 3.625

Simplifying
l = 3.625

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