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Simplifying 10 + -1(4n + -7) = 1 + -5n Reorder the terms: 10 + -1(-7 + 4n) = 1 + -5n 10 + (-7 * -1 + 4n * -1) = 1 + -5n 10 + (7 + -4n) = 1 + -5n Combine like terms: 10 + 7 = 17 17 + -4n = 1 + -5n Solving 17 + -4n = 1 + -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. 17 + -4n + 5n = 1 + -5n + 5n Combine like terms: -4n + 5n = 1n 17 + 1n = 1 + -5n + 5n Combine like terms: -5n + 5n = 0 17 + 1n = 1 + 0 17 + 1n = 1 Add '-17' to each side of the equation. 17 + -17 + 1n = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 1n = 1 + -17 1n = 1 + -17 Combine like terms: 1 + -17 = -16 1n = -16 Divide each side by '1'. n = -16 Simplifying n = -16
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