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Simplifying 5(10n + -4) + -10(9n + 6) = 0 Reorder the terms: 5(-4 + 10n) + -10(9n + 6) = 0 (-4 * 5 + 10n * 5) + -10(9n + 6) = 0 (-20 + 50n) + -10(9n + 6) = 0 Reorder the terms: -20 + 50n + -10(6 + 9n) = 0 -20 + 50n + (6 * -10 + 9n * -10) = 0 -20 + 50n + (-60 + -90n) = 0 Reorder the terms: -20 + -60 + 50n + -90n = 0 Combine like terms: -20 + -60 = -80 -80 + 50n + -90n = 0 Combine like terms: 50n + -90n = -40n -80 + -40n = 0 Solving -80 + -40n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -40n = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -40n = 0 + 80 -40n = 0 + 80 Combine like terms: 0 + 80 = 80 -40n = 80 Divide each side by '-40'. n = -2 Simplifying n = -2
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