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Simplifying n + -7n + -10 = n + 3n + 30 Reorder the terms: -10 + n + -7n = n + 3n + 30 Combine like terms: n + -7n = -6n -10 + -6n = n + 3n + 30 Reorder the terms: -10 + -6n = 30 + n + 3n Combine like terms: n + 3n = 4n -10 + -6n = 30 + 4n Solving -10 + -6n = 30 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -10 + -6n + -4n = 30 + 4n + -4n Combine like terms: -6n + -4n = -10n -10 + -10n = 30 + 4n + -4n Combine like terms: 4n + -4n = 0 -10 + -10n = 30 + 0 -10 + -10n = 30 Add '10' to each side of the equation. -10 + 10 + -10n = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -10n = 30 + 10 -10n = 30 + 10 Combine like terms: 30 + 10 = 40 -10n = 40 Divide each side by '-10'. n = -4 Simplifying n = -4
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