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Simplifying 4n + -4 = 7n + 17 Reorder the terms: -4 + 4n = 7n + 17 Reorder the terms: -4 + 4n = 17 + 7n Solving -4 + 4n = 17 + 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. -4 + 4n + -7n = 17 + 7n + -7n Combine like terms: 4n + -7n = -3n -4 + -3n = 17 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + -3n = 17 + 0 -4 + -3n = 17 Add '4' to each side of the equation. -4 + 4 + -3n = 17 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = 17 + 4 -3n = 17 + 4 Combine like terms: 17 + 4 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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