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Simplifying -8(2n + 5) + 8n = -5(n + 1) + 10 Reorder the terms: -8(5 + 2n) + 8n = -5(n + 1) + 10 (5 * -8 + 2n * -8) + 8n = -5(n + 1) + 10 (-40 + -16n) + 8n = -5(n + 1) + 10 Combine like terms: -16n + 8n = -8n -40 + -8n = -5(n + 1) + 10 Reorder the terms: -40 + -8n = -5(1 + n) + 10 -40 + -8n = (1 * -5 + n * -5) + 10 -40 + -8n = (-5 + -5n) + 10 Reorder the terms: -40 + -8n = -5 + 10 + -5n Combine like terms: -5 + 10 = 5 -40 + -8n = 5 + -5n Solving -40 + -8n = 5 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -40 + -8n + 5n = 5 + -5n + 5n Combine like terms: -8n + 5n = -3n -40 + -3n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 -40 + -3n = 5 + 0 -40 + -3n = 5 Add '40' to each side of the equation. -40 + 40 + -3n = 5 + 40 Combine like terms: -40 + 40 = 0 0 + -3n = 5 + 40 -3n = 5 + 40 Combine like terms: 5 + 40 = 45 -3n = 45 Divide each side by '-3'. n = -15 Simplifying n = -15
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