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Simplifying -9(n + 4) + 10n = -1(9 + 4n) + -12 Reorder the terms: -9(4 + n) + 10n = -1(9 + 4n) + -12 (4 * -9 + n * -9) + 10n = -1(9 + 4n) + -12 (-36 + -9n) + 10n = -1(9 + 4n) + -12 Combine like terms: -9n + 10n = 1n -36 + 1n = -1(9 + 4n) + -12 -36 + 1n = (9 * -1 + 4n * -1) + -12 -36 + 1n = (-9 + -4n) + -12 Reorder the terms: -36 + 1n = -9 + -12 + -4n Combine like terms: -9 + -12 = -21 -36 + 1n = -21 + -4n Solving -36 + 1n = -21 + -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. -36 + 1n + 4n = -21 + -4n + 4n Combine like terms: 1n + 4n = 5n -36 + 5n = -21 + -4n + 4n Combine like terms: -4n + 4n = 0 -36 + 5n = -21 + 0 -36 + 5n = -21 Add '36' to each side of the equation. -36 + 36 + 5n = -21 + 36 Combine like terms: -36 + 36 = 0 0 + 5n = -21 + 36 5n = -21 + 36 Combine like terms: -21 + 36 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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