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Simplifying -0.25(12n) + -1(4n + 5) = 16 + 3n Remove parenthesis around (12n) -0.25 * 12n + -1(4n + 5) = 16 + 3n Multiply -0.25 * 12 -3n + -1(4n + 5) = 16 + 3n Reorder the terms: -3n + -1(5 + 4n) = 16 + 3n -3n + (5 * -1 + 4n * -1) = 16 + 3n -3n + (-5 + -4n) = 16 + 3n Reorder the terms: -5 + -3n + -4n = 16 + 3n Combine like terms: -3n + -4n = -7n -5 + -7n = 16 + 3n Solving -5 + -7n = 16 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -5 + -7n + -3n = 16 + 3n + -3n Combine like terms: -7n + -3n = -10n -5 + -10n = 16 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + -10n = 16 + 0 -5 + -10n = 16 Add '5' to each side of the equation. -5 + 5 + -10n = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -10n = 16 + 5 -10n = 16 + 5 Combine like terms: 16 + 5 = 21 -10n = 21 Divide each side by '-10'. n = -2.1 Simplifying n = -2.1
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