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Simplifying -16 + 4n = -5(-8n + -6) + -10 Reorder the terms: -16 + 4n = -5(-6 + -8n) + -10 -16 + 4n = (-6 * -5 + -8n * -5) + -10 -16 + 4n = (30 + 40n) + -10 Reorder the terms: -16 + 4n = 30 + -10 + 40n Combine like terms: 30 + -10 = 20 -16 + 4n = 20 + 40n Solving -16 + 4n = 20 + 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. -16 + 4n + -40n = 20 + 40n + -40n Combine like terms: 4n + -40n = -36n -16 + -36n = 20 + 40n + -40n Combine like terms: 40n + -40n = 0 -16 + -36n = 20 + 0 -16 + -36n = 20 Add '16' to each side of the equation. -16 + 16 + -36n = 20 + 16 Combine like terms: -16 + 16 = 0 0 + -36n = 20 + 16 -36n = 20 + 16 Combine like terms: 20 + 16 = 36 -36n = 36 Divide each side by '-36'. n = -1 Simplifying n = -1
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