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Simplifying -6 + -7n = 8(3n + 7) Reorder the terms: -6 + -7n = 8(7 + 3n) -6 + -7n = (7 * 8 + 3n * 8) -6 + -7n = (56 + 24n) Solving -6 + -7n = 56 + 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. -6 + -7n + -24n = 56 + 24n + -24n Combine like terms: -7n + -24n = -31n -6 + -31n = 56 + 24n + -24n Combine like terms: 24n + -24n = 0 -6 + -31n = 56 + 0 -6 + -31n = 56 Add '6' to each side of the equation. -6 + 6 + -31n = 56 + 6 Combine like terms: -6 + 6 = 0 0 + -31n = 56 + 6 -31n = 56 + 6 Combine like terms: 56 + 6 = 62 -31n = 62 Divide each side by '-31'. n = -2 Simplifying n = -2
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