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Simplifying -1n + -3(3n + 3) = 23 + -6n Reorder the terms: -1n + -3(3 + 3n) = 23 + -6n -1n + (3 * -3 + 3n * -3) = 23 + -6n -1n + (-9 + -9n) = 23 + -6n Reorder the terms: -9 + -1n + -9n = 23 + -6n Combine like terms: -1n + -9n = -10n -9 + -10n = 23 + -6n Solving -9 + -10n = 23 + -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. -9 + -10n + 6n = 23 + -6n + 6n Combine like terms: -10n + 6n = -4n -9 + -4n = 23 + -6n + 6n Combine like terms: -6n + 6n = 0 -9 + -4n = 23 + 0 -9 + -4n = 23 Add '9' to each side of the equation. -9 + 9 + -4n = 23 + 9 Combine like terms: -9 + 9 = 0 0 + -4n = 23 + 9 -4n = 23 + 9 Combine like terms: 23 + 9 = 32 -4n = 32 Divide each side by '-4'. n = -8 Simplifying n = -8
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