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Simplifying -1(l + 1) = 8(6 + -1l) Reorder the terms: -1(1 + l) = 8(6 + -1l) (1 * -1 + l * -1) = 8(6 + -1l) (-1 + -1l) = 8(6 + -1l) -1 + -1l = (6 * 8 + -1l * 8) -1 + -1l = (48 + -8l) Solving -1 + -1l = 48 + -8l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8l' to each side of the equation. -1 + -1l + 8l = 48 + -8l + 8l Combine like terms: -1l + 8l = 7l -1 + 7l = 48 + -8l + 8l Combine like terms: -8l + 8l = 0 -1 + 7l = 48 + 0 -1 + 7l = 48 Add '1' to each side of the equation. -1 + 1 + 7l = 48 + 1 Combine like terms: -1 + 1 = 0 0 + 7l = 48 + 1 7l = 48 + 1 Combine like terms: 48 + 1 = 49 7l = 49 Divide each side by '7'. l = 7 Simplifying l = 7
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