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Simplifying -51 + -7n = 10n + 17 Reorder the terms: -51 + -7n = 17 + 10n Solving -51 + -7n = 17 + 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. -51 + -7n + -10n = 17 + 10n + -10n Combine like terms: -7n + -10n = -17n -51 + -17n = 17 + 10n + -10n Combine like terms: 10n + -10n = 0 -51 + -17n = 17 + 0 -51 + -17n = 17 Add '51' to each side of the equation. -51 + 51 + -17n = 17 + 51 Combine like terms: -51 + 51 = 0 0 + -17n = 17 + 51 -17n = 17 + 51 Combine like terms: 17 + 51 = 68 -17n = 68 Divide each side by '-17'. n = -4 Simplifying n = -4
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