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Simplifying 10 + -1(4n + -6) = 1 + -5n Reorder the terms: 10 + -1(-6 + 4n) = 1 + -5n 10 + (-6 * -1 + 4n * -1) = 1 + -5n 10 + (6 + -4n) = 1 + -5n Combine like terms: 10 + 6 = 16 16 + -4n = 1 + -5n Solving 16 + -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. 16 + -4n + 5n = 1 + -5n + 5n Combine like terms: -4n + 5n = 1n 16 + 1n = 1 + -5n + 5n Combine like terms: -5n + 5n = 0 16 + 1n = 1 + 0 16 + 1n = 1 Add '-16' to each side of the equation. 16 + -16 + 1n = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 1n = 1 + -16 1n = 1 + -16 Combine like terms: 1 + -16 = -15 1n = -15 Divide each side by '1'. n = -15 Simplifying n = -15
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