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Simplifying -5n + 20 + -4n + 9 = n + -36 Reorder the terms: 20 + 9 + -5n + -4n = n + -36 Combine like terms: 20 + 9 = 29 29 + -5n + -4n = n + -36 Combine like terms: -5n + -4n = -9n 29 + -9n = n + -36 Reorder the terms: 29 + -9n = -36 + n Solving 29 + -9n = -36 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 29 + -9n + -1n = -36 + n + -1n Combine like terms: -9n + -1n = -10n 29 + -10n = -36 + n + -1n Combine like terms: n + -1n = 0 29 + -10n = -36 + 0 29 + -10n = -36 Add '-29' to each side of the equation. 29 + -29 + -10n = -36 + -29 Combine like terms: 29 + -29 = 0 0 + -10n = -36 + -29 -10n = -36 + -29 Combine like terms: -36 + -29 = -65 -10n = -65 Divide each side by '-10'. n = 6.5 Simplifying n = 6.5
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