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Simplifying -4n + 22 + -5n + 8 = n + -35 Reorder the terms: 22 + 8 + -4n + -5n = n + -35 Combine like terms: 22 + 8 = 30 30 + -4n + -5n = n + -35 Combine like terms: -4n + -5n = -9n 30 + -9n = n + -35 Reorder the terms: 30 + -9n = -35 + n Solving 30 + -9n = -35 + 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. 30 + -9n + -1n = -35 + n + -1n Combine like terms: -9n + -1n = -10n 30 + -10n = -35 + n + -1n Combine like terms: n + -1n = 0 30 + -10n = -35 + 0 30 + -10n = -35 Add '-30' to each side of the equation. 30 + -30 + -10n = -35 + -30 Combine like terms: 30 + -30 = 0 0 + -10n = -35 + -30 -10n = -35 + -30 Combine like terms: -35 + -30 = -65 -10n = -65 Divide each side by '-10'. n = 6.5 Simplifying n = 6.5
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