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Simplifying -5(3n + 3) + -8 = 34 + 4n Reorder the terms: -5(3 + 3n) + -8 = 34 + 4n (3 * -5 + 3n * -5) + -8 = 34 + 4n (-15 + -15n) + -8 = 34 + 4n Reorder the terms: -15 + -8 + -15n = 34 + 4n Combine like terms: -15 + -8 = -23 -23 + -15n = 34 + 4n Solving -23 + -15n = 34 + 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. -23 + -15n + -4n = 34 + 4n + -4n Combine like terms: -15n + -4n = -19n -23 + -19n = 34 + 4n + -4n Combine like terms: 4n + -4n = 0 -23 + -19n = 34 + 0 -23 + -19n = 34 Add '23' to each side of the equation. -23 + 23 + -19n = 34 + 23 Combine like terms: -23 + 23 = 0 0 + -19n = 34 + 23 -19n = 34 + 23 Combine like terms: 34 + 23 = 57 -19n = 57 Divide each side by '-19'. n = -3 Simplifying n = -3
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