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Simplifying -130 = 8(2 + 3n) + -2 -130 = (2 * 8 + 3n * 8) + -2 -130 = (16 + 24n) + -2 Reorder the terms: -130 = 16 + -2 + 24n Combine like terms: 16 + -2 = 14 -130 = 14 + 24n Solving -130 = 14 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -130 + -24n = 14 + 24n + -24n Combine like terms: 24n + -24n = 0 -130 + -24n = 14 + 0 -130 + -24n = 14 Add '130' to each side of the equation. -130 + 130 + -24n = 14 + 130 Combine like terms: -130 + 130 = 0 0 + -24n = 14 + 130 -24n = 14 + 130 Combine like terms: 14 + 130 = 144 -24n = 144 Divide each side by '-24'. n = -6 Simplifying n = -6
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