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Simplifying 30 + 7n = -1n + -3(3n + 7) Reorder the terms: 30 + 7n = -1n + -3(7 + 3n) 30 + 7n = -1n + (7 * -3 + 3n * -3) 30 + 7n = -1n + (-21 + -9n) Reorder the terms: 30 + 7n = -21 + -1n + -9n Combine like terms: -1n + -9n = -10n 30 + 7n = -21 + -10n Solving 30 + 7n = -21 + -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. 30 + 7n + 10n = -21 + -10n + 10n Combine like terms: 7n + 10n = 17n 30 + 17n = -21 + -10n + 10n Combine like terms: -10n + 10n = 0 30 + 17n = -21 + 0 30 + 17n = -21 Add '-30' to each side of the equation. 30 + -30 + 17n = -21 + -30 Combine like terms: 30 + -30 = 0 0 + 17n = -21 + -30 17n = -21 + -30 Combine like terms: -21 + -30 = -51 17n = -51 Divide each side by '17'. n = -3 Simplifying n = -3
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