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Simplifying 5n + -10 = n + 46 Reorder the terms: -10 + 5n = n + 46 Reorder the terms: -10 + 5n = 46 + n Solving -10 + 5n = 46 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -10 + 5n + -1n = 46 + n + -1n Combine like terms: 5n + -1n = 4n -10 + 4n = 46 + n + -1n Combine like terms: n + -1n = 0 -10 + 4n = 46 + 0 -10 + 4n = 46 Add '10' to each side of the equation. -10 + 10 + 4n = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 4n = 46 + 10 4n = 46 + 10 Combine like terms: 46 + 10 = 56 4n = 56 Divide each side by '4'. n = 14 Simplifying n = 14
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