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Simplifying -6n + 16 + -3n + 9 = n + -40 Reorder the terms: 16 + 9 + -6n + -3n = n + -40 Combine like terms: 16 + 9 = 25 25 + -6n + -3n = n + -40 Combine like terms: -6n + -3n = -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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