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Simplifying -8(2n + 4) = 30 + 3n Reorder the terms: -8(4 + 2n) = 30 + 3n (4 * -8 + 2n * -8) = 30 + 3n (-32 + -16n) = 30 + 3n Solving -32 + -16n = 30 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -32 + -16n + -3n = 30 + 3n + -3n Combine like terms: -16n + -3n = -19n -32 + -19n = 30 + 3n + -3n Combine like terms: 3n + -3n = 0 -32 + -19n = 30 + 0 -32 + -19n = 30 Add '32' to each side of the equation. -32 + 32 + -19n = 30 + 32 Combine like terms: -32 + 32 = 0 0 + -19n = 30 + 32 -19n = 30 + 32 Combine like terms: 30 + 32 = 62 -19n = 62 Divide each side by '-19'. n = -3.263157895 Simplifying n = -3.263157895
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