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Simplifying 7 + -1(4n + -3) = 5 + -5n Reorder the terms: 7 + -1(-3 + 4n) = 5 + -5n 7 + (-3 * -1 + 4n * -1) = 5 + -5n 7 + (3 + -4n) = 5 + -5n Combine like terms: 7 + 3 = 10 10 + -4n = 5 + -5n Solving 10 + -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. 10 + -4n + 5n = 5 + -5n + 5n Combine like terms: -4n + 5n = 1n 10 + 1n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + 1n = 5 + 0 10 + 1n = 5 Add '-10' to each side of the equation. 10 + -10 + 1n = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 1n = 5 + -10 1n = 5 + -10 Combine like terms: 5 + -10 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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