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Simplifying 6(n + -3) + 5 = 2n + 5 Reorder the terms: 6(-3 + n) + 5 = 2n + 5 (-3 * 6 + n * 6) + 5 = 2n + 5 (-18 + 6n) + 5 = 2n + 5 Reorder the terms: -18 + 5 + 6n = 2n + 5 Combine like terms: -18 + 5 = -13 -13 + 6n = 2n + 5 Reorder the terms: -13 + 6n = 5 + 2n Solving -13 + 6n = 5 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -13 + 6n + -2n = 5 + 2n + -2n Combine like terms: 6n + -2n = 4n -13 + 4n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 -13 + 4n = 5 + 0 -13 + 4n = 5 Add '13' to each side of the equation. -13 + 13 + 4n = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 4n = 5 + 13 4n = 5 + 13 Combine like terms: 5 + 13 = 18 4n = 18 Divide each side by '4'. n = 4.5 Simplifying n = 4.5
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