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Simplifying 19 + -1n = -4(n + -4) Reorder the terms: 19 + -1n = -4(-4 + n) 19 + -1n = (-4 * -4 + n * -4) 19 + -1n = (16 + -4n) Solving 19 + -1n = 16 + -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. 19 + -1n + 4n = 16 + -4n + 4n Combine like terms: -1n + 4n = 3n 19 + 3n = 16 + -4n + 4n Combine like terms: -4n + 4n = 0 19 + 3n = 16 + 0 19 + 3n = 16 Add '-19' to each side of the equation. 19 + -19 + 3n = 16 + -19 Combine like terms: 19 + -19 = 0 0 + 3n = 16 + -19 3n = 16 + -19 Combine like terms: 16 + -19 = -3 3n = -3 Divide each side by '3'. n = -1 Simplifying n = -1
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