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Simplifying 4(n + -5) = 10(n + -11) Reorder the terms: 4(-5 + n) = 10(n + -11) (-5 * 4 + n * 4) = 10(n + -11) (-20 + 4n) = 10(n + -11) Reorder the terms: -20 + 4n = 10(-11 + n) -20 + 4n = (-11 * 10 + n * 10) -20 + 4n = (-110 + 10n) Solving -20 + 4n = -110 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -20 + 4n + -10n = -110 + 10n + -10n Combine like terms: 4n + -10n = -6n -20 + -6n = -110 + 10n + -10n Combine like terms: 10n + -10n = 0 -20 + -6n = -110 + 0 -20 + -6n = -110 Add '20' to each side of the equation. -20 + 20 + -6n = -110 + 20 Combine like terms: -20 + 20 = 0 0 + -6n = -110 + 20 -6n = -110 + 20 Combine like terms: -110 + 20 = -90 -6n = -90 Divide each side by '-6'. n = 15 Simplifying n = 15
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