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Simplifying 10 + -1n = 8(2n + -7) + 5n Reorder the terms: 10 + -1n = 8(-7 + 2n) + 5n 10 + -1n = (-7 * 8 + 2n * 8) + 5n 10 + -1n = (-56 + 16n) + 5n Combine like terms: 16n + 5n = 21n 10 + -1n = -56 + 21n Solving 10 + -1n = -56 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 10 + -1n + -21n = -56 + 21n + -21n Combine like terms: -1n + -21n = -22n 10 + -22n = -56 + 21n + -21n Combine like terms: 21n + -21n = 0 10 + -22n = -56 + 0 10 + -22n = -56 Add '-10' to each side of the equation. 10 + -10 + -22n = -56 + -10 Combine like terms: 10 + -10 = 0 0 + -22n = -56 + -10 -22n = -56 + -10 Combine like terms: -56 + -10 = -66 -22n = -66 Divide each side by '-22'. n = 3 Simplifying n = 3
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