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Simplifying 5[2n + -3] = 7[2n + -5] + 8 Reorder the terms: 5[-3 + 2n] = 7[2n + -5] + 8 [-3 * 5 + 2n * 5] = 7[2n + -5] + 8 [-15 + 10n] = 7[2n + -5] + 8 Reorder the terms: -15 + 10n = 7[-5 + 2n] + 8 -15 + 10n = [-5 * 7 + 2n * 7] + 8 -15 + 10n = [-35 + 14n] + 8 Reorder the terms: -15 + 10n = -35 + 8 + 14n Combine like terms: -35 + 8 = -27 -15 + 10n = -27 + 14n Solving -15 + 10n = -27 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -15 + 10n + -14n = -27 + 14n + -14n Combine like terms: 10n + -14n = -4n -15 + -4n = -27 + 14n + -14n Combine like terms: 14n + -14n = 0 -15 + -4n = -27 + 0 -15 + -4n = -27 Add '15' to each side of the equation. -15 + 15 + -4n = -27 + 15 Combine like terms: -15 + 15 = 0 0 + -4n = -27 + 15 -4n = -27 + 15 Combine like terms: -27 + 15 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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