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Simplifying 3(n + -10) + -5(n + 12) = -86 Reorder the terms: 3(-10 + n) + -5(n + 12) = -86 (-10 * 3 + n * 3) + -5(n + 12) = -86 (-30 + 3n) + -5(n + 12) = -86 Reorder the terms: -30 + 3n + -5(12 + n) = -86 -30 + 3n + (12 * -5 + n * -5) = -86 -30 + 3n + (-60 + -5n) = -86 Reorder the terms: -30 + -60 + 3n + -5n = -86 Combine like terms: -30 + -60 = -90 -90 + 3n + -5n = -86 Combine like terms: 3n + -5n = -2n -90 + -2n = -86 Solving -90 + -2n = -86 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -2n = -86 + 90 Combine like terms: -90 + 90 = 0 0 + -2n = -86 + 90 -2n = -86 + 90 Combine like terms: -86 + 90 = 4 -2n = 4 Divide each side by '-2'. n = -2 Simplifying n = -2
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