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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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