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Simplifying 17 + -5n = -3(n + -4) + 7 Reorder the terms: 17 + -5n = -3(-4 + n) + 7 17 + -5n = (-4 * -3 + n * -3) + 7 17 + -5n = (12 + -3n) + 7 Reorder the terms: 17 + -5n = 12 + 7 + -3n Combine like terms: 12 + 7 = 19 17 + -5n = 19 + -3n Solving 17 + -5n = 19 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 17 + -5n + 3n = 19 + -3n + 3n Combine like terms: -5n + 3n = -2n 17 + -2n = 19 + -3n + 3n Combine like terms: -3n + 3n = 0 17 + -2n = 19 + 0 17 + -2n = 19 Add '-17' to each side of the equation. 17 + -17 + -2n = 19 + -17 Combine like terms: 17 + -17 = 0 0 + -2n = 19 + -17 -2n = 19 + -17 Combine like terms: 19 + -17 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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