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Simplifying 8(3N + -5) = 4(5N + 1) Reorder the terms: 8(-5 + 3N) = 4(5N + 1) (-5 * 8 + 3N * 8) = 4(5N + 1) (-40 + 24N) = 4(5N + 1) Reorder the terms: -40 + 24N = 4(1 + 5N) -40 + 24N = (1 * 4 + 5N * 4) -40 + 24N = (4 + 20N) Solving -40 + 24N = 4 + 20N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-20N' to each side of the equation. -40 + 24N + -20N = 4 + 20N + -20N Combine like terms: 24N + -20N = 4N -40 + 4N = 4 + 20N + -20N Combine like terms: 20N + -20N = 0 -40 + 4N = 4 + 0 -40 + 4N = 4 Add '40' to each side of the equation. -40 + 40 + 4N = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 4N = 4 + 40 4N = 4 + 40 Combine like terms: 4 + 40 = 44 4N = 44 Divide each side by '4'. N = 11 Simplifying N = 11
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