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Simplifying 7(7 + 2l) = 3(9l + -1) (7 * 7 + 2l * 7) = 3(9l + -1) (49 + 14l) = 3(9l + -1) Reorder the terms: 49 + 14l = 3(-1 + 9l) 49 + 14l = (-1 * 3 + 9l * 3) 49 + 14l = (-3 + 27l) Solving 49 + 14l = -3 + 27l Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-27l' to each side of the equation. 49 + 14l + -27l = -3 + 27l + -27l Combine like terms: 14l + -27l = -13l 49 + -13l = -3 + 27l + -27l Combine like terms: 27l + -27l = 0 49 + -13l = -3 + 0 49 + -13l = -3 Add '-49' to each side of the equation. 49 + -49 + -13l = -3 + -49 Combine like terms: 49 + -49 = 0 0 + -13l = -3 + -49 -13l = -3 + -49 Combine like terms: -3 + -49 = -52 -13l = -52 Divide each side by '-13'. l = 4 Simplifying l = 4
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