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Simplifying 19 + -3n = -8(6n + -8) Reorder the terms: 19 + -3n = -8(-8 + 6n) 19 + -3n = (-8 * -8 + 6n * -8) 19 + -3n = (64 + -48n) Solving 19 + -3n = 64 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 19 + -3n + 48n = 64 + -48n + 48n Combine like terms: -3n + 48n = 45n 19 + 45n = 64 + -48n + 48n Combine like terms: -48n + 48n = 0 19 + 45n = 64 + 0 19 + 45n = 64 Add '-19' to each side of the equation. 19 + -19 + 45n = 64 + -19 Combine like terms: 19 + -19 = 0 0 + 45n = 64 + -19 45n = 64 + -19 Combine like terms: 64 + -19 = 45 45n = 45 Divide each side by '45'. n = 1 Simplifying n = 1
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