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Simplifying 2[-1n + 6(n + -3)] = -4n + -29 Reorder the terms: 2[-1n + 6(-3 + n)] = -4n + -29 2[-1n + (-3 * 6 + n * 6)] = -4n + -29 2[-1n + (-18 + 6n)] = -4n + -29 Reorder the terms: 2[-18 + -1n + 6n] = -4n + -29 Combine like terms: -1n + 6n = 5n 2[-18 + 5n] = -4n + -29 [-18 * 2 + 5n * 2] = -4n + -29 [-36 + 10n] = -4n + -29 Reorder the terms: -36 + 10n = -29 + -4n Solving -36 + 10n = -29 + -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 + 10n + 4n = -29 + -4n + 4n Combine like terms: 10n + 4n = 14n -36 + 14n = -29 + -4n + 4n Combine like terms: -4n + 4n = 0 -36 + 14n = -29 + 0 -36 + 14n = -29 Add '36' to each side of the equation. -36 + 36 + 14n = -29 + 36 Combine like terms: -36 + 36 = 0 0 + 14n = -29 + 36 14n = -29 + 36 Combine like terms: -29 + 36 = 7 14n = 7 Divide each side by '14'. n = 0.5 Simplifying n = 0.5
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