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Simplifying 8(-5 + n) = -8(9n + 4) (-5 * 8 + n * 8) = -8(9n + 4) (-40 + 8n) = -8(9n + 4) Reorder the terms: -40 + 8n = -8(4 + 9n) -40 + 8n = (4 * -8 + 9n * -8) -40 + 8n = (-32 + -72n) Solving -40 + 8n = -32 + -72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '72n' to each side of the equation. -40 + 8n + 72n = -32 + -72n + 72n Combine like terms: 8n + 72n = 80n -40 + 80n = -32 + -72n + 72n Combine like terms: -72n + 72n = 0 -40 + 80n = -32 + 0 -40 + 80n = -32 Add '40' to each side of the equation. -40 + 40 + 80n = -32 + 40 Combine like terms: -40 + 40 = 0 0 + 80n = -32 + 40 80n = -32 + 40 Combine like terms: -32 + 40 = 8 80n = 8 Divide each side by '80'. n = 0.1 Simplifying n = 0.1
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