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Simplifying 8(3n + -6) + -3(-7 + -7n) = 18 Reorder the terms: 8(-6 + 3n) + -3(-7 + -7n) = 18 (-6 * 8 + 3n * 8) + -3(-7 + -7n) = 18 (-48 + 24n) + -3(-7 + -7n) = 18 -48 + 24n + (-7 * -3 + -7n * -3) = 18 -48 + 24n + (21 + 21n) = 18 Reorder the terms: -48 + 21 + 24n + 21n = 18 Combine like terms: -48 + 21 = -27 -27 + 24n + 21n = 18 Combine like terms: 24n + 21n = 45n -27 + 45n = 18 Solving -27 + 45n = 18 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 45n = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 45n = 18 + 27 45n = 18 + 27 Combine like terms: 18 + 27 = 45 45n = 45 Divide each side by '45'. n = 1 Simplifying n = 1
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