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Simplifying 5(3 + 2n) + -2 = 53 (3 * 5 + 2n * 5) + -2 = 53 (15 + 10n) + -2 = 53 Reorder the terms: 15 + -2 + 10n = 53 Combine like terms: 15 + -2 = 13 13 + 10n = 53 Solving 13 + 10n = 53 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 10n = 53 + -13 Combine like terms: 13 + -13 = 0 0 + 10n = 53 + -13 10n = 53 + -13 Combine like terms: 53 + -13 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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