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Simplifying 4n + 10 = n + 7 Reorder the terms: 10 + 4n = n + 7 Reorder the terms: 10 + 4n = 7 + n Solving 10 + 4n = 7 + 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 + 4n + -1n = 7 + n + -1n Combine like terms: 4n + -1n = 3n 10 + 3n = 7 + n + -1n Combine like terms: n + -1n = 0 10 + 3n = 7 + 0 10 + 3n = 7 Add '-10' to each side of the equation. 10 + -10 + 3n = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = 7 + -10 3n = 7 + -10 Combine like terms: 7 + -10 = -3 3n = -3 Divide each side by '3'. n = -1 Simplifying n = -1
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