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Simplifying 2(l + -3) + 3(l + -2) = 28 Reorder the terms: 2(-3 + l) + 3(l + -2) = 28 (-3 * 2 + l * 2) + 3(l + -2) = 28 (-6 + 2l) + 3(l + -2) = 28 Reorder the terms: -6 + 2l + 3(-2 + l) = 28 -6 + 2l + (-2 * 3 + l * 3) = 28 -6 + 2l + (-6 + 3l) = 28 Reorder the terms: -6 + -6 + 2l + 3l = 28 Combine like terms: -6 + -6 = -12 -12 + 2l + 3l = 28 Combine like terms: 2l + 3l = 5l -12 + 5l = 28 Solving -12 + 5l = 28 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5l = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 5l = 28 + 12 5l = 28 + 12 Combine like terms: 28 + 12 = 40 5l = 40 Divide each side by '5'. l = 8 Simplifying l = 8
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