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Simplifying -1(n + 10) = -10(1 + -4n) Reorder the terms: -1(10 + n) = -10(1 + -4n) (10 * -1 + n * -1) = -10(1 + -4n) (-10 + -1n) = -10(1 + -4n) -10 + -1n = (1 * -10 + -4n * -10) -10 + -1n = (-10 + 40n) Add '10' to each side of the equation. -10 + 10 + -1n = -10 + 10 + 40n Combine like terms: -10 + 10 = 0 0 + -1n = -10 + 10 + 40n -1n = -10 + 10 + 40n Combine like terms: -10 + 10 = 0 -1n = 0 + 40n -1n = 40n Solving -1n = 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. -1n + -40n = 40n + -40n Combine like terms: -1n + -40n = -41n -41n = 40n + -40n Combine like terms: 40n + -40n = 0 -41n = 0 Divide each side by '-41'. n = 0 Simplifying n = 0
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