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Simplifying 2(l + -3) + -17 = 13 + -3(l + 2) Reorder the terms: 2(-3 + l) + -17 = 13 + -3(l + 2) (-3 * 2 + l * 2) + -17 = 13 + -3(l + 2) (-6 + 2l) + -17 = 13 + -3(l + 2) Reorder the terms: -6 + -17 + 2l = 13 + -3(l + 2) Combine like terms: -6 + -17 = -23 -23 + 2l = 13 + -3(l + 2) Reorder the terms: -23 + 2l = 13 + -3(2 + l) -23 + 2l = 13 + (2 * -3 + l * -3) -23 + 2l = 13 + (-6 + -3l) Combine like terms: 13 + -6 = 7 -23 + 2l = 7 + -3l Solving -23 + 2l = 7 + -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. -23 + 2l + 3l = 7 + -3l + 3l Combine like terms: 2l + 3l = 5l -23 + 5l = 7 + -3l + 3l Combine like terms: -3l + 3l = 0 -23 + 5l = 7 + 0 -23 + 5l = 7 Add '23' to each side of the equation. -23 + 23 + 5l = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 5l = 7 + 23 5l = 7 + 23 Combine like terms: 7 + 23 = 30 5l = 30 Divide each side by '5'. l = 6 Simplifying l = 6
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