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Simplifying -13n + -45 = -10(n + 6) Reorder the terms: -45 + -13n = -10(n + 6) Reorder the terms: -45 + -13n = -10(6 + n) -45 + -13n = (6 * -10 + n * -10) -45 + -13n = (-60 + -10n) Solving -45 + -13n = -60 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -45 + -13n + 10n = -60 + -10n + 10n Combine like terms: -13n + 10n = -3n -45 + -3n = -60 + -10n + 10n Combine like terms: -10n + 10n = 0 -45 + -3n = -60 + 0 -45 + -3n = -60 Add '45' to each side of the equation. -45 + 45 + -3n = -60 + 45 Combine like terms: -45 + 45 = 0 0 + -3n = -60 + 45 -3n = -60 + 45 Combine like terms: -60 + 45 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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