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Simplifying 10 + n = 4(n + 1) + 1 + -1n Reorder the terms: 10 + n = 4(1 + n) + 1 + -1n 10 + n = (1 * 4 + n * 4) + 1 + -1n 10 + n = (4 + 4n) + 1 + -1n Reorder the terms: 10 + n = 4 + 1 + 4n + -1n Combine like terms: 4 + 1 = 5 10 + n = 5 + 4n + -1n Combine like terms: 4n + -1n = 3n 10 + n = 5 + 3n Solving 10 + n = 5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + n + -3n = 5 + 3n + -3n Combine like terms: n + -3n = -2n 10 + -2n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + -2n = 5 + 0 10 + -2n = 5 Add '-10' to each side of the equation. 10 + -10 + -2n = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = 5 + -10 -2n = 5 + -10 Combine like terms: 5 + -10 = -5 -2n = -5 Divide each side by '-2'. n = 2.5 Simplifying n = 2.5
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