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Simplifying 8(n + -6) + -1(-8n + -5) = 15n Reorder the terms: 8(-6 + n) + -1(-8n + -5) = 15n (-6 * 8 + n * 8) + -1(-8n + -5) = 15n (-48 + 8n) + -1(-8n + -5) = 15n Reorder the terms: -48 + 8n + -1(-5 + -8n) = 15n -48 + 8n + (-5 * -1 + -8n * -1) = 15n -48 + 8n + (5 + 8n) = 15n Reorder the terms: -48 + 5 + 8n + 8n = 15n Combine like terms: -48 + 5 = -43 -43 + 8n + 8n = 15n Combine like terms: 8n + 8n = 16n -43 + 16n = 15n Solving -43 + 16n = 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -43 + 16n + -15n = 15n + -15n Combine like terms: 16n + -15n = 1n -43 + 1n = 15n + -15n Combine like terms: 15n + -15n = 0 -43 + 1n = 0 Add '43' to each side of the equation. -43 + 43 + 1n = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 1n = 0 + 43 1n = 0 + 43 Combine like terms: 0 + 43 = 43 1n = 43 Divide each side by '1'. n = 43 Simplifying n = 43
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