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Simplifying 10n + -9(n + -5) = 4(n + -4) + -5 Reorder the terms: 10n + -9(-5 + n) = 4(n + -4) + -5 10n + (-5 * -9 + n * -9) = 4(n + -4) + -5 10n + (45 + -9n) = 4(n + -4) + -5 Reorder the terms: 45 + 10n + -9n = 4(n + -4) + -5 Combine like terms: 10n + -9n = 1n 45 + 1n = 4(n + -4) + -5 Reorder the terms: 45 + 1n = 4(-4 + n) + -5 45 + 1n = (-4 * 4 + n * 4) + -5 45 + 1n = (-16 + 4n) + -5 Reorder the terms: 45 + 1n = -16 + -5 + 4n Combine like terms: -16 + -5 = -21 45 + 1n = -21 + 4n Solving 45 + 1n = -21 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 45 + 1n + -4n = -21 + 4n + -4n Combine like terms: 1n + -4n = -3n 45 + -3n = -21 + 4n + -4n Combine like terms: 4n + -4n = 0 45 + -3n = -21 + 0 45 + -3n = -21 Add '-45' to each side of the equation. 45 + -45 + -3n = -21 + -45 Combine like terms: 45 + -45 = 0 0 + -3n = -21 + -45 -3n = -21 + -45 Combine like terms: -21 + -45 = -66 -3n = -66 Divide each side by '-3'. n = 22 Simplifying n = 22
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