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Simplifying -45 = 5(5n + -4) + -4(-4n + -4) Reorder the terms: -45 = 5(-4 + 5n) + -4(-4n + -4) -45 = (-4 * 5 + 5n * 5) + -4(-4n + -4) -45 = (-20 + 25n) + -4(-4n + -4) Reorder the terms: -45 = -20 + 25n + -4(-4 + -4n) -45 = -20 + 25n + (-4 * -4 + -4n * -4) -45 = -20 + 25n + (16 + 16n) Reorder the terms: -45 = -20 + 16 + 25n + 16n Combine like terms: -20 + 16 = -4 -45 = -4 + 25n + 16n Combine like terms: 25n + 16n = 41n -45 = -4 + 41n Solving -45 = -4 + 41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-41n' to each side of the equation. -45 + -41n = -4 + 41n + -41n Combine like terms: 41n + -41n = 0 -45 + -41n = -4 + 0 -45 + -41n = -4 Add '45' to each side of the equation. -45 + 45 + -41n = -4 + 45 Combine like terms: -45 + 45 = 0 0 + -41n = -4 + 45 -41n = -4 + 45 Combine like terms: -4 + 45 = 41 -41n = 41 Divide each side by '-41'. n = -1 Simplifying n = -1
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