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Simplifying l + (l + 1) + (l + 2) + (l + 3) = -22 Reorder the terms: l + (1 + l) + (l + 2) + (l + 3) = -22 Remove parenthesis around (1 + l) l + 1 + l + (l + 2) + (l + 3) = -22 Reorder the terms: l + 1 + l + (2 + l) + (l + 3) = -22 Remove parenthesis around (2 + l) l + 1 + l + 2 + l + (l + 3) = -22 Reorder the terms: l + 1 + l + 2 + l + (3 + l) = -22 Remove parenthesis around (3 + l) l + 1 + l + 2 + l + 3 + l = -22 Reorder the terms: 1 + 2 + 3 + l + l + l + l = -22 Combine like terms: 1 + 2 = 3 3 + 3 + l + l + l + l = -22 Combine like terms: 3 + 3 = 6 6 + l + l + l + l = -22 Combine like terms: l + l = 2l 6 + 2l + l + l = -22 Combine like terms: 2l + l = 3l 6 + 3l + l = -22 Combine like terms: 3l + l = 4l 6 + 4l = -22 Solving 6 + 4l = -22 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4l = -22 + -6 Combine like terms: 6 + -6 = 0 0 + 4l = -22 + -6 4l = -22 + -6 Combine like terms: -22 + -6 = -28 4l = -28 Divide each side by '4'. l = -7 Simplifying l = -7
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