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Simplifying -1(3 + -3n) + 2(1 + -5n) = -2n + -4n (3 * -1 + -3n * -1) + 2(1 + -5n) = -2n + -4n (-3 + 3n) + 2(1 + -5n) = -2n + -4n -3 + 3n + (1 * 2 + -5n * 2) = -2n + -4n -3 + 3n + (2 + -10n) = -2n + -4n Reorder the terms: -3 + 2 + 3n + -10n = -2n + -4n Combine like terms: -3 + 2 = -1 -1 + 3n + -10n = -2n + -4n Combine like terms: 3n + -10n = -7n -1 + -7n = -2n + -4n Combine like terms: -2n + -4n = -6n -1 + -7n = -6n Solving -1 + -7n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -1 + -7n + 6n = -6n + 6n Combine like terms: -7n + 6n = -1n -1 + -1n = -6n + 6n Combine like terms: -6n + 6n = 0 -1 + -1n = 0 Add '1' to each side of the equation. -1 + 1 + -1n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1n = 0 + 1 -1n = 0 + 1 Combine like terms: 0 + 1 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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