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Simplifying 5l + -9 = 9l + -5(2l + -3) Reorder the terms: -9 + 5l = 9l + -5(2l + -3) Reorder the terms: -9 + 5l = 9l + -5(-3 + 2l) -9 + 5l = 9l + (-3 * -5 + 2l * -5) -9 + 5l = 9l + (15 + -10l) Reorder the terms: -9 + 5l = 15 + 9l + -10l Combine like terms: 9l + -10l = -1l -9 + 5l = 15 + -1l Solving -9 + 5l = 15 + -1l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'l' to each side of the equation. -9 + 5l + l = 15 + -1l + l Combine like terms: 5l + l = 6l -9 + 6l = 15 + -1l + l Combine like terms: -1l + l = 0 -9 + 6l = 15 + 0 -9 + 6l = 15 Add '9' to each side of the equation. -9 + 9 + 6l = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 6l = 15 + 9 6l = 15 + 9 Combine like terms: 15 + 9 = 24 6l = 24 Divide each side by '6'. l = 4 Simplifying l = 4
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