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Simplifying 10 + -1(4n + -2) = 5 + -5n Reorder the terms: 10 + -1(-2 + 4n) = 5 + -5n 10 + (-2 * -1 + 4n * -1) = 5 + -5n 10 + (2 + -4n) = 5 + -5n Combine like terms: 10 + 2 = 12 12 + -4n = 5 + -5n Solving 12 + -4n = 5 + -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. 12 + -4n + 5n = 5 + -5n + 5n Combine like terms: -4n + 5n = 1n 12 + 1n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + 1n = 5 + 0 12 + 1n = 5 Add '-12' to each side of the equation. 12 + -12 + 1n = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 5 + -12 1n = 5 + -12 Combine like terms: 5 + -12 = -7 1n = -7 Divide each side by '1'. n = -7 Simplifying n = -7
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