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Simplifying 3n + -7 = 2(5n + 3) Reorder the terms: -7 + 3n = 2(5n + 3) Reorder the terms: -7 + 3n = 2(3 + 5n) -7 + 3n = (3 * 2 + 5n * 2) -7 + 3n = (6 + 10n) Solving -7 + 3n = 6 + 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. -7 + 3n + -10n = 6 + 10n + -10n Combine like terms: 3n + -10n = -7n -7 + -7n = 6 + 10n + -10n Combine like terms: 10n + -10n = 0 -7 + -7n = 6 + 0 -7 + -7n = 6 Add '7' to each side of the equation. -7 + 7 + -7n = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -7n = 6 + 7 -7n = 6 + 7 Combine like terms: 6 + 7 = 13 -7n = 13 Divide each side by '-7'. n = -1.857142857 Simplifying n = -1.857142857
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