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Simplifying -3 = 2(5n + 6) + 5 Reorder the terms: -3 = 2(6 + 5n) + 5 -3 = (6 * 2 + 5n * 2) + 5 -3 = (12 + 10n) + 5 Reorder the terms: -3 = 12 + 5 + 10n Combine like terms: 12 + 5 = 17 -3 = 17 + 10n Solving -3 = 17 + 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. -3 + -10n = 17 + 10n + -10n Combine like terms: 10n + -10n = 0 -3 + -10n = 17 + 0 -3 + -10n = 17 Add '3' to each side of the equation. -3 + 3 + -10n = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -10n = 17 + 3 -10n = 17 + 3 Combine like terms: 17 + 3 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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