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Simplifying 2n(2) + 4 = 5n(2) + 3n + -6 Reorder the terms for easier multiplication: 2 * 2n + 4 = 5n(2) + 3n + -6 Multiply 2 * 2 4n + 4 = 5n(2) + 3n + -6 Reorder the terms: 4 + 4n = 5n(2) + 3n + -6 Reorder the terms for easier multiplication: 4 + 4n = 5 * 2n + 3n + -6 Multiply 5 * 2 4 + 4n = 10n + 3n + -6 Reorder the terms: 4 + 4n = -6 + 10n + 3n Combine like terms: 10n + 3n = 13n 4 + 4n = -6 + 13n Solving 4 + 4n = -6 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 4 + 4n + -13n = -6 + 13n + -13n Combine like terms: 4n + -13n = -9n 4 + -9n = -6 + 13n + -13n Combine like terms: 13n + -13n = 0 4 + -9n = -6 + 0 4 + -9n = -6 Add '-4' to each side of the equation. 4 + -4 + -9n = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -9n = -6 + -4 -9n = -6 + -4 Combine like terms: -6 + -4 = -10 -9n = -10 Divide each side by '-9'. n = 1.111111111 Simplifying n = 1.111111111
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