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Simplifying -29.5 = 2 + 5(n + 6) Reorder the terms: -29.5 = 2 + 5(6 + n) -29.5 = 2 + (6 * 5 + n * 5) -29.5 = 2 + (30 + 5n) Combine like terms: 2 + 30 = 32 -29.5 = 32 + 5n Solving -29.5 = 32 + 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. -29.5 + -5n = 32 + 5n + -5n Combine like terms: 5n + -5n = 0 -29.5 + -5n = 32 + 0 -29.5 + -5n = 32 Add '29.5' to each side of the equation. -29.5 + 29.5 + -5n = 32 + 29.5 Combine like terms: -29.5 + 29.5 = 0.0 0.0 + -5n = 32 + 29.5 -5n = 32 + 29.5 Combine like terms: 32 + 29.5 = 61.5 -5n = 61.5 Divide each side by '-5'. n = -12.3 Simplifying n = -12.3
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