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Simplifying -10 + n + -7 + 3n = n + -2 + -3 Reorder the terms: -10 + -7 + n + 3n = n + -2 + -3 Combine like terms: -10 + -7 = -17 -17 + n + 3n = n + -2 + -3 Combine like terms: n + 3n = 4n -17 + 4n = n + -2 + -3 Reorder the terms: -17 + 4n = -2 + -3 + n Combine like terms: -2 + -3 = -5 -17 + 4n = -5 + n Solving -17 + 4n = -5 + 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. -17 + 4n + -1n = -5 + n + -1n Combine like terms: 4n + -1n = 3n -17 + 3n = -5 + n + -1n Combine like terms: n + -1n = 0 -17 + 3n = -5 + 0 -17 + 3n = -5 Add '17' to each side of the equation. -17 + 17 + 3n = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 3n = -5 + 17 3n = -5 + 17 Combine like terms: -5 + 17 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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