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Simplifying 19 + -6n = 8(-6n + 2) + 3 Reorder the terms: 19 + -6n = 8(2 + -6n) + 3 19 + -6n = (2 * 8 + -6n * 8) + 3 19 + -6n = (16 + -48n) + 3 Reorder the terms: 19 + -6n = 16 + 3 + -48n Combine like terms: 16 + 3 = 19 19 + -6n = 19 + -48n Add '-19' to each side of the equation. 19 + -19 + -6n = 19 + -19 + -48n Combine like terms: 19 + -19 = 0 0 + -6n = 19 + -19 + -48n -6n = 19 + -19 + -48n Combine like terms: 19 + -19 = 0 -6n = 0 + -48n -6n = -48n Solving -6n = -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. -6n + 48n = -48n + 48n Combine like terms: -6n + 48n = 42n 42n = -48n + 48n Combine like terms: -48n + 48n = 0 42n = 0 Divide each side by '42'. n = 0 Simplifying n = 0
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