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Simplifying 5n + -8 = 6 + 10(n + 3) Reorder the terms: -8 + 5n = 6 + 10(n + 3) Reorder the terms: -8 + 5n = 6 + 10(3 + n) -8 + 5n = 6 + (3 * 10 + n * 10) -8 + 5n = 6 + (30 + 10n) Combine like terms: 6 + 30 = 36 -8 + 5n = 36 + 10n Solving -8 + 5n = 36 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -8 + 5n + -10n = 36 + 10n + -10n Combine like terms: 5n + -10n = -5n -8 + -5n = 36 + 10n + -10n Combine like terms: 10n + -10n = 0 -8 + -5n = 36 + 0 -8 + -5n = 36 Add '8' to each side of the equation. -8 + 8 + -5n = 36 + 8 Combine like terms: -8 + 8 = 0 0 + -5n = 36 + 8 -5n = 36 + 8 Combine like terms: 36 + 8 = 44 -5n = 44 Divide each side by '-5'. n = -8.8 Simplifying n = -8.8
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