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Simplifying 5(n + -8) + n = 8(n + -3) Reorder the terms: 5(-8 + n) + n = 8(n + -3) (-8 * 5 + n * 5) + n = 8(n + -3) (-40 + 5n) + n = 8(n + -3) Combine like terms: 5n + n = 6n -40 + 6n = 8(n + -3) Reorder the terms: -40 + 6n = 8(-3 + n) -40 + 6n = (-3 * 8 + n * 8) -40 + 6n = (-24 + 8n) Solving -40 + 6n = -24 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -40 + 6n + -8n = -24 + 8n + -8n Combine like terms: 6n + -8n = -2n -40 + -2n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 -40 + -2n = -24 + 0 -40 + -2n = -24 Add '40' to each side of the equation. -40 + 40 + -2n = -24 + 40 Combine like terms: -40 + 40 = 0 0 + -2n = -24 + 40 -2n = -24 + 40 Combine like terms: -24 + 40 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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