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Simplifying 5l + 5 = 13l + -12 Reorder the terms: 5 + 5l = 13l + -12 Reorder the terms: 5 + 5l = -12 + 13l Solving 5 + 5l = -12 + 13l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-13l' to each side of the equation. 5 + 5l + -13l = -12 + 13l + -13l Combine like terms: 5l + -13l = -8l 5 + -8l = -12 + 13l + -13l Combine like terms: 13l + -13l = 0 5 + -8l = -12 + 0 5 + -8l = -12 Add '-5' to each side of the equation. 5 + -5 + -8l = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -8l = -12 + -5 -8l = -12 + -5 Combine like terms: -12 + -5 = -17 -8l = -17 Divide each side by '-8'. l = 2.125 Simplifying l = 2.125
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