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Simplifying -28 + 3n = -5(8n + -3) Reorder the terms: -28 + 3n = -5(-3 + 8n) -28 + 3n = (-3 * -5 + 8n * -5) -28 + 3n = (15 + -40n) Solving -28 + 3n = 15 + -40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '40n' to each side of the equation. -28 + 3n + 40n = 15 + -40n + 40n Combine like terms: 3n + 40n = 43n -28 + 43n = 15 + -40n + 40n Combine like terms: -40n + 40n = 0 -28 + 43n = 15 + 0 -28 + 43n = 15 Add '28' to each side of the equation. -28 + 28 + 43n = 15 + 28 Combine like terms: -28 + 28 = 0 0 + 43n = 15 + 28 43n = 15 + 28 Combine like terms: 15 + 28 = 43 43n = 43 Divide each side by '43'. n = 1 Simplifying n = 1
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