458=2(l)+(2(l-7))

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Solution for 458=2(l)+(2(l-7)) equation:


Simplifying
458 = 2(l) + (2(l + -7))

Reorder the terms:
458 = 2l + (2(-7 + l))
458 = 2l + ((-7 * 2 + l * 2))
458 = 2l + ((-14 + 2l))
458 = 2l + (-14 + 2l)

Remove parenthesis around (-14 + 2l)
458 = 2l + -14 + 2l

Reorder the terms:
458 = -14 + 2l + 2l

Combine like terms: 2l + 2l = 4l
458 = -14 + 4l

Solving
458 = -14 + 4l

Solving for variable 'l'.

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

Add '-4l' to each side of the equation.
458 + -4l = -14 + 4l + -4l

Combine like terms: 4l + -4l = 0
458 + -4l = -14 + 0
458 + -4l = -14

Add '-458' to each side of the equation.
458 + -458 + -4l = -14 + -458

Combine like terms: 458 + -458 = 0
0 + -4l = -14 + -458
-4l = -14 + -458

Combine like terms: -14 + -458 = -472
-4l = -472

Divide each side by '-4'.
l = 118

Simplifying
l = 118

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