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Simplifying 7 + -3(2n + 4) = 5n + 17 Reorder the terms: 7 + -3(4 + 2n) = 5n + 17 7 + (4 * -3 + 2n * -3) = 5n + 17 7 + (-12 + -6n) = 5n + 17 Combine like terms: 7 + -12 = -5 -5 + -6n = 5n + 17 Reorder the terms: -5 + -6n = 17 + 5n Solving -5 + -6n = 17 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -5 + -6n + -5n = 17 + 5n + -5n Combine like terms: -6n + -5n = -11n -5 + -11n = 17 + 5n + -5n Combine like terms: 5n + -5n = 0 -5 + -11n = 17 + 0 -5 + -11n = 17 Add '5' to each side of the equation. -5 + 5 + -11n = 17 + 5 Combine like terms: -5 + 5 = 0 0 + -11n = 17 + 5 -11n = 17 + 5 Combine like terms: 17 + 5 = 22 -11n = 22 Divide each side by '-11'. n = -2 Simplifying n = -2
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