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Simplifying 122 = 3(5 + -5n) + 2 122 = (5 * 3 + -5n * 3) + 2 122 = (15 + -15n) + 2 Reorder the terms: 122 = 15 + 2 + -15n Combine like terms: 15 + 2 = 17 122 = 17 + -15n Solving 122 = 17 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 122 + 15n = 17 + -15n + 15n Combine like terms: -15n + 15n = 0 122 + 15n = 17 + 0 122 + 15n = 17 Add '-122' to each side of the equation. 122 + -122 + 15n = 17 + -122 Combine like terms: 122 + -122 = 0 0 + 15n = 17 + -122 15n = 17 + -122 Combine like terms: 17 + -122 = -105 15n = -105 Divide each side by '15'. n = -7 Simplifying n = -7
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