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