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Simplifying 9[l + 2] = 3[l + -2] Reorder the terms: 9[2 + l] = 3[l + -2] [2 * 9 + l * 9] = 3[l + -2] [18 + 9l] = 3[l + -2] Reorder the terms: 18 + 9l = 3[-2 + l] 18 + 9l = [-2 * 3 + l * 3] 18 + 9l = [-6 + 3l] Solving 18 + 9l = -6 + 3l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3l' to each side of the equation. 18 + 9l + -3l = -6 + 3l + -3l Combine like terms: 9l + -3l = 6l 18 + 6l = -6 + 3l + -3l Combine like terms: 3l + -3l = 0 18 + 6l = -6 + 0 18 + 6l = -6 Add '-18' to each side of the equation. 18 + -18 + 6l = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6l = -6 + -18 6l = -6 + -18 Combine like terms: -6 + -18 = -24 6l = -24 Divide each side by '6'. l = -4 Simplifying l = -4
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