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Simplifying -4n + 18 + -5n + 7 = n + -40 Reorder the terms: 18 + 7 + -4n + -5n = n + -40 Combine like terms: 18 + 7 = 25 25 + -4n + -5n = n + -40 Combine like terms: -4n + -5n = -9n 25 + -9n = n + -40 Reorder the terms: 25 + -9n = -40 + n Solving 25 + -9n = -40 + 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. 25 + -9n + -1n = -40 + n + -1n Combine like terms: -9n + -1n = -10n 25 + -10n = -40 + n + -1n Combine like terms: n + -1n = 0 25 + -10n = -40 + 0 25 + -10n = -40 Add '-25' to each side of the equation. 25 + -25 + -10n = -40 + -25 Combine like terms: 25 + -25 = 0 0 + -10n = -40 + -25 -10n = -40 + -25 Combine like terms: -40 + -25 = -65 -10n = -65 Divide each side by '-10'. n = 6.5 Simplifying n = 6.5
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