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Simplifying 2(8n + -5) + -7(7 + 8n) = 61 Reorder the terms: 2(-5 + 8n) + -7(7 + 8n) = 61 (-5 * 2 + 8n * 2) + -7(7 + 8n) = 61 (-10 + 16n) + -7(7 + 8n) = 61 -10 + 16n + (7 * -7 + 8n * -7) = 61 -10 + 16n + (-49 + -56n) = 61 Reorder the terms: -10 + -49 + 16n + -56n = 61 Combine like terms: -10 + -49 = -59 -59 + 16n + -56n = 61 Combine like terms: 16n + -56n = -40n -59 + -40n = 61 Solving -59 + -40n = 61 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + -40n = 61 + 59 Combine like terms: -59 + 59 = 0 0 + -40n = 61 + 59 -40n = 61 + 59 Combine like terms: 61 + 59 = 120 -40n = 120 Divide each side by '-40'. n = -3 Simplifying n = -3
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