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Simplifying -1(-10n + 1) + -9 = 1 + -3(n + -5) Reorder the terms: -1(1 + -10n) + -9 = 1 + -3(n + -5) (1 * -1 + -10n * -1) + -9 = 1 + -3(n + -5) (-1 + 10n) + -9 = 1 + -3(n + -5) Reorder the terms: -1 + -9 + 10n = 1 + -3(n + -5) Combine like terms: -1 + -9 = -10 -10 + 10n = 1 + -3(n + -5) Reorder the terms: -10 + 10n = 1 + -3(-5 + n) -10 + 10n = 1 + (-5 * -3 + n * -3) -10 + 10n = 1 + (15 + -3n) Combine like terms: 1 + 15 = 16 -10 + 10n = 16 + -3n Solving -10 + 10n = 16 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -10 + 10n + 3n = 16 + -3n + 3n Combine like terms: 10n + 3n = 13n -10 + 13n = 16 + -3n + 3n Combine like terms: -3n + 3n = 0 -10 + 13n = 16 + 0 -10 + 13n = 16 Add '10' to each side of the equation. -10 + 10 + 13n = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 13n = 16 + 10 13n = 16 + 10 Combine like terms: 16 + 10 = 26 13n = 26 Divide each side by '13'. n = 2 Simplifying n = 2
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