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Simplifying 7 = 14(4n + 8) + 4n Reorder the terms: 7 = 14(8 + 4n) + 4n 7 = (8 * 14 + 4n * 14) + 4n 7 = (112 + 56n) + 4n Combine like terms: 56n + 4n = 60n 7 = 112 + 60n Solving 7 = 112 + 60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60n' to each side of the equation. 7 + -60n = 112 + 60n + -60n Combine like terms: 60n + -60n = 0 7 + -60n = 112 + 0 7 + -60n = 112 Add '-7' to each side of the equation. 7 + -7 + -60n = 112 + -7 Combine like terms: 7 + -7 = 0 0 + -60n = 112 + -7 -60n = 112 + -7 Combine like terms: 112 + -7 = 105 -60n = 105 Divide each side by '-60'. n = -1.75 Simplifying n = -1.75
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