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Simplifying 3n + -17 = -49 + 7n Reorder the terms: -17 + 3n = -49 + 7n Solving -17 + 3n = -49 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -17 + 3n + -7n = -49 + 7n + -7n Combine like terms: 3n + -7n = -4n -17 + -4n = -49 + 7n + -7n Combine like terms: 7n + -7n = 0 -17 + -4n = -49 + 0 -17 + -4n = -49 Add '17' to each side of the equation. -17 + 17 + -4n = -49 + 17 Combine like terms: -17 + 17 = 0 0 + -4n = -49 + 17 -4n = -49 + 17 Combine like terms: -49 + 17 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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