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Simplifying 3l + -21 + 32 + -8l + -7 = -4l + 8 + -6 Reorder the terms: -21 + 32 + -7 + 3l + -8l = -4l + 8 + -6 Combine like terms: -21 + 32 = 11 11 + -7 + 3l + -8l = -4l + 8 + -6 Combine like terms: 11 + -7 = 4 4 + 3l + -8l = -4l + 8 + -6 Combine like terms: 3l + -8l = -5l 4 + -5l = -4l + 8 + -6 Reorder the terms: 4 + -5l = 8 + -6 + -4l Combine like terms: 8 + -6 = 2 4 + -5l = 2 + -4l Solving 4 + -5l = 2 + -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. 4 + -5l + 4l = 2 + -4l + 4l Combine like terms: -5l + 4l = -1l 4 + -1l = 2 + -4l + 4l Combine like terms: -4l + 4l = 0 4 + -1l = 2 + 0 4 + -1l = 2 Add '-4' to each side of the equation. 4 + -4 + -1l = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1l = 2 + -4 -1l = 2 + -4 Combine like terms: 2 + -4 = -2 -1l = -2 Divide each side by '-1'. l = 2 Simplifying l = 2
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