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Simplifying -5(n + 6) + -3n = 8 + 2(-8n + -3) Reorder the terms: -5(6 + n) + -3n = 8 + 2(-8n + -3) (6 * -5 + n * -5) + -3n = 8 + 2(-8n + -3) (-30 + -5n) + -3n = 8 + 2(-8n + -3) Combine like terms: -5n + -3n = -8n -30 + -8n = 8 + 2(-8n + -3) Reorder the terms: -30 + -8n = 8 + 2(-3 + -8n) -30 + -8n = 8 + (-3 * 2 + -8n * 2) -30 + -8n = 8 + (-6 + -16n) Combine like terms: 8 + -6 = 2 -30 + -8n = 2 + -16n Solving -30 + -8n = 2 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -30 + -8n + 16n = 2 + -16n + 16n Combine like terms: -8n + 16n = 8n -30 + 8n = 2 + -16n + 16n Combine like terms: -16n + 16n = 0 -30 + 8n = 2 + 0 -30 + 8n = 2 Add '30' to each side of the equation. -30 + 30 + 8n = 2 + 30 Combine like terms: -30 + 30 = 0 0 + 8n = 2 + 30 8n = 2 + 30 Combine like terms: 2 + 30 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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