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Simplifying 8(-3n + -3) + -4 = 30 + 5n Reorder the terms: 8(-3 + -3n) + -4 = 30 + 5n (-3 * 8 + -3n * 8) + -4 = 30 + 5n (-24 + -24n) + -4 = 30 + 5n Reorder the terms: -24 + -4 + -24n = 30 + 5n Combine like terms: -24 + -4 = -28 -28 + -24n = 30 + 5n Solving -28 + -24n = 30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -28 + -24n + -5n = 30 + 5n + -5n Combine like terms: -24n + -5n = -29n -28 + -29n = 30 + 5n + -5n Combine like terms: 5n + -5n = 0 -28 + -29n = 30 + 0 -28 + -29n = 30 Add '28' to each side of the equation. -28 + 28 + -29n = 30 + 28 Combine like terms: -28 + 28 = 0 0 + -29n = 30 + 28 -29n = 30 + 28 Combine like terms: 30 + 28 = 58 -29n = 58 Divide each side by '-29'. n = -2 Simplifying n = -2
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