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Simplifying 4(1 + -4n) + -5n = 19 + -6n (1 * 4 + -4n * 4) + -5n = 19 + -6n (4 + -16n) + -5n = 19 + -6n Combine like terms: -16n + -5n = -21n 4 + -21n = 19 + -6n Solving 4 + -21n = 19 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 4 + -21n + 6n = 19 + -6n + 6n Combine like terms: -21n + 6n = -15n 4 + -15n = 19 + -6n + 6n Combine like terms: -6n + 6n = 0 4 + -15n = 19 + 0 4 + -15n = 19 Add '-4' to each side of the equation. 4 + -4 + -15n = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -15n = 19 + -4 -15n = 19 + -4 Combine like terms: 19 + -4 = 15 -15n = 15 Divide each side by '-15'. n = -1 Simplifying n = -1
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