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Simplifying 19 + 3n = -1(1 + -7n) 19 + 3n = (1 * -1 + -7n * -1) 19 + 3n = (-1 + 7n) Solving 19 + 3n = -1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 19 + 3n + -7n = -1 + 7n + -7n Combine like terms: 3n + -7n = -4n 19 + -4n = -1 + 7n + -7n Combine like terms: 7n + -7n = 0 19 + -4n = -1 + 0 19 + -4n = -1 Add '-19' to each side of the equation. 19 + -19 + -4n = -1 + -19 Combine like terms: 19 + -19 = 0 0 + -4n = -1 + -19 -4n = -1 + -19 Combine like terms: -1 + -19 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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